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mso-level-number-position:left; margin-left:4.75in; text-indent:-.25in;} ol {margin-bottom:0in;} ul {margin-bottom:0in;} --> </style> <!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman",serif;} table.MsoTableGrid {mso-style-name:"Table Grid"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-priority:59; mso-style-unhide:no; border:solid windowtext 1.0pt; mso-border-alt:solid windowtext .5pt; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-border-insideh:.5pt solid windowtext; mso-border-insidev:.5pt solid windowtext; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman",serif;} </style> <![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="1027"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body bgcolor="#EEECE1" lang=EN-US link=blue vlink=purple style='tab-interval: .5in'> <div class=WordSection1> <p class=MsoNormal style='margin-bottom:12.0pt'><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="Picture_x0020_2" o:spid="_x0000_s1026" type="#_x0000_t75" alt="IMG_1163" style='position:absolute;margin-left:42.4pt;margin-top:2.5pt; width:93.6pt;height:119.5pt;z-index:251658240;visibility:visible; mso-wrap-style:square;mso-width-percent:0;mso-height-percent:0; mso-wrap-distance-left:9pt;mso-wrap-distance-top:0;mso-wrap-distance-right:9pt; mso-wrap-distance-bottom:0;mso-position-horizontal:right; mso-position-horizontal-relative:page;mso-position-vertical:absolute; mso-position-vertical-relative:page;mso-width-percent:0;mso-height-percent:0; mso-width-relative:page;mso-height-relative:page'> <v:imagedata src="index_files/image001.jpg" o:title="IMG_1163"/> <w:wrap anchorx="page" anchory="page"/> </v:shape><![endif]--><![if !vml]><span style='mso-ignore:vglayout;position: absolute;z-index:251658240;margin-left:837px;margin-top:10px;width:187px; height:239px'><img width=125 height=159 src="index_files/image002.jpg" alt="IMG_1163" v:shapes="Picture_x0020_2"></span><![endif]><span class=SpellE><span class=TitleChar><span style='font-size:22.0pt;mso-bidi-font-size:26.0pt; color:windowtext'>Swastik</span></span></span><span class=TitleChar><span style='font-size:22.0pt;mso-bidi-font-size:26.0pt;color:#0D0D0D;mso-themecolor: text1;mso-themetint:242;mso-style-textfill-fill-color:#0D0D0D;mso-style-textfill-fill-themecolor: text1;mso-style-textfill-fill-alpha:100.0%;mso-style-textfill-fill-colortransforms: "lumm=95000 lumo=5000"'><span style='color:windowtext'> <span class=SpellE>Kopparty</span></span></span></span><span style='mso-fareast-font-family:"Times New Roman"'><br> Department of Mathematics &amp;<br> Department of Computer Science<br> Hill Center, Room 432, <br> Rutgers University.</span><span style='mso-no-proof:yes'> </span><span style='mso-fareast-font-family:"Times New Roman"'><br> <span class=GramE><span style='mso-bidi-font-style:italic'>swastik.kopparty@gmail.com</span></span><span style='mso-bidi-font-style:italic'><br> </span></span><span style='font-size:10.0pt;mso-bidi-font-size:12.0pt; mso-fareast-font-family:"Times New Roman";mso-bidi-font-style:italic'>(please do <b style='mso-bidi-font-weight:normal'>not</b> use swastik@math.rutgers.edu or swastik.kopparty@rutgers.edu) </span><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-style:italic'><br> <br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:12.0pt'><span style='mso-fareast-font-family: "Times New Roman"'>I am interested in the Theory of Computing, Error-Correcting Codes, Complexity Theory, Combinatorics, Finite Fields, Randomness and <span class=SpellE>Pseudorandomness</span>.<o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:12.0pt'><span style='mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></p> <table class=MsoTableGrid border=0 cellspacing=0 cellpadding=0 style='border-collapse:collapse;border:none;mso-yfti-tbllook:1184;mso-padding-alt: 0in 5.4pt 0in 5.4pt;mso-border-insideh:none'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> <td width=249 valign=top style='width:418.1pt;border:none;border-right:solid windowtext 1.0pt; mso-border-right-alt:solid windowtext .5pt;padding:0in 5.4pt 0in 5.4pt'> <h2>Papers</h2> <p class=MsoListParagraphCxSpFirst style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="improved-frs-mult.pdf">Improved decoding of folded Reed-Solomon and multiplicity codes</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Noga</span> Ron-<span class=SpellE>Zewi</span>, <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span> and Mary <span class=SpellE>Wootters</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="multilinearforms.pdf">On multilinear forms: bias, correlation and tensor rank</a><br> <span style='mso-spacerun:yes'></span>with Abhishek <span class=SpellE>Bhrushundi</span>, <span class=SpellE>Prahladh</span> Harsha, <span class=SpellE>Pooya</span> <span class=SpellE>Hatami</span> and <span class=SpellE>Mrinal</span> Kumar<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="fri.pdf">Worst case to average case reductions for the distance to a code</a><br> <span style='mso-spacerun:yes'></span>with Eli Ben-<span class=SpellE>Sasson</span> and <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="rm-tensor.pdf">Syndrome decoding of Reed-Muller codes and tensor decomposition over finite fields</a><br> <span style='mso-spacerun:yes'></span>with Aditya <span class=SpellE>Potukuchi</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="simmaxcut.pdf">Near-optimal approximation algorithm for simultaneous MAXCUT</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Amey</span> <span class=SpellE>Bhangale</span>, <span class=SpellE>Subhash</span> <span class=SpellE>Khot</span>, Sushant <span class=SpellE>Sachdeva</span> and Deva <span class=SpellE>Thiruvenkatachari</span><br style='mso-special-character: line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="MR-grid.pdf">Maximally recoverable codes for grid-like topologies</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Parikshit</span> <span class=SpellE>Gopalan</span>, <span class=SpellE>Guangda</span> Hu, <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span>, Carol Wang and Sergey <span class=SpellE>Yekhanin</span><br style='mso-special-character: line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="sigact-ltc-ldc-survey.pdf">Local testing and decoding of high-rate error-correcting codes</a> (a survey)<br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="robustpositioning.pdf">Robust Positioning Patterns</a><br> <span style='mso-spacerun:yes'></span>with Ross Berkowitz<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="gv-ltc-lcc.pdf">Locally-testable and locally-correctable codes approaching the Gilbert-<span class=SpellE>Varshamov</span> bound</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Sivakanth</span> <span class=SpellE>Gopi</span>, Rafael Oliveira, <span class=SpellE>Noga</span> Ron-<span class=SpellE>Zewi</span> and <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="snz.pdf">On strictly nonzero integer-valued charges</a><br> <span style='mso-spacerun:yes'></span>with K.P.S. <span class=SpellE>Bhaskara</span> Rao<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="RM-productset-eccc-version.pdf">Decoding Reed-Muller codes on product sets</a><br> <span style='mso-spacerun:yes'></span>with John Kim<br style='mso-special-character: line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="gcd-arxiv-version">A Cauchy-Davenport theorem for linear maps</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Simao</span> <span class=SpellE>Herdade</span> and John Kim<br style='mso-special-character: line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="quasipolylogltc.pdf">High rate locally-testable codes with <span class=SpellE>quasipolylogarithmic</span> query complexity</a><br> <span style='mso-spacerun:yes'></span>with Or Meir, <span class=SpellE>Noga</span> Ron-<span class=SpellE>Zewi</span> and <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="subpoly.pdf">High rate locally-correctable codes and locally-testable codes with <span class=SpellE>subpolynomial</span> query complexity</a><br> <span style='mso-spacerun:yes'></span>with Or Meir, <span class=SpellE>Noga</span> Ron-<span class=SpellE>Zewi</span> and <span class=SpellE>Shubhangi</span> Saraf<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="indexing.pdf">Indexing necklaces and irreducible polynomials over finite fields</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Mrinal</span> Kumar and Mike Saks<br> <span style='mso-spacerun:yes'></span>(<a href="https://www.youtube.com/watch?v=ZhbYB8WLO3A">video</a>)<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="signrankNP.pdf">The complexity of computing the minimum rank of a sign pattern matrix</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Amey</span> <span class=SpellE>Bhangale</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="triangles.pdf">A local central limit theorem for triangles in a random graph</a><br> <span style='mso-spacerun:yes'></span>with Justin Gilmer<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="lifts-list-decoding.pdf">List-decoding algorithms for lifted codes</a><br> <span style='mso-spacerun:yes'></span>with Alan <span class=SpellE>Guo</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="simopt.pdf">Simultaneous approximation of constraint satisfaction problems</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Amey</span> <span class=SpellE>Bhangale</span> and Sushant <span class=SpellE>Sachdeva</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2;display:none'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"; display:none;mso-hide:all'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman";display:none;mso-hide:all'><a href="indexing.pdf">Efficient indexing of necklaces and irreducible polynomials over finite fields</a><br> <span style='mso-spacerun:yes'></span>with Mrinal Kumar and Mike Saks<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="multcode-survey.pdf">Some remarks on multiplicity codes</a><br> <span style='mso-spacerun:yes'></span>(a survey)<br style='mso-special-character: line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="pit-factor.pdf">Equivalence of polynomial identity testing and multivariate polynomial factorization</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span> and Amir <span class=SpellE>Shpilka</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="zero-coeffs.pdf">Roots and coefficients of polynomials over finite fields</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Qiang</span> Wang<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="AG-PCP.pdf">Constant rate PCPs for Circuit-SAT with sublinear query complexity</a><br> <span style='mso-spacerun:yes'></span>with Eli Ben-<span class=SpellE>Sasson</span>, <span class=SpellE>Yohay</span> Kaplan, Or Meir and Henning <span class=SpellE>Stichtenoth</span><br> <span style='mso-spacerun:yes'></span>(<a href="http://videos.birs.ca/2013/13w5010/201307101115-Kopparty.mp4">video</a>)<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="subspace-designs.pdf">Explicit subspace designs</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Venkatesan</span> <span class=SpellE>Guruswami</span><br> <span style='mso-spacerun:yes'></span>(<a href="http://intractability.princeton.edu/videos/stream/videoplay.html?videofile=cs/CCI%20Spring%202013/May/Kopparty.mp4">video</a>)<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpLast style='margin-left:.2in;mso-add-space:auto; text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="affine-inv-lift.pdf">New affine-invariant codes from lifting</a><br> <span style='mso-spacerun:yes'></span>with Alan <span class=SpellE>Guo</span> and <span class=SpellE>Madhu</span> Sudan<span style='mso-spacerun:yes'> </span><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpFirst style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="ag-lift.pdf">A new family of locally correctable codes based on degree-lifted algebraic geometry codes</a><br> <span style='mso-spacerun:yes'></span>with Eli Ben-<span class=SpellE>Sasson</span>, Ariel <span class=SpellE>Gabizon</span>, <span class=SpellE>Yohay</span> Kaplan and Shubhangi Saraf<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="one-sided-approx.pdf">Certifying polynomials for AC<sup>0</sup>(Parity), with applications</a><br> <span style='mso-spacerun:yes'></span>with Srikanth Srinivasan<br> <span style='mso-spacerun:yes'></span>(<a href="http://intractability.princeton.edu/videos/stream/videoplay.html?videofile=cs/TL12/Kopparty.mp4">video</a>)<br> <span style='mso-spacerun:yes'></span><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="part2.pdf">List-decoding Multiplicity Codes</a><br> <span style='mso-spacerun:yes'></span>(<a href="http://video.ias.edu/csdm/kopparty2012Apr10">video</a>)<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="cuberoot.pdf">On the complexity of powering in finite fields</a><br> <span style='mso-spacerun:yes'></span>(<a href="http://video.ias.edu/csdm/kopparty/01feb11">video 1</a>, <a href="http://video.ias.edu/pseudo-mini/kopparty">video 2</a>)<br> <span style='mso-spacerun:yes'></span><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="highratelocal.pdf">High-rate codes with sublinear-time decoding</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span> and Sergey <span class=SpellE>Yekhanin</span><br> <span style='mso-spacerun:yes'></span>(<a href="http://video.ias.edu/csdm/kopparty">video 1</a>, <a href="http://intractability.princeton.edu/videos/stream/videoplay.html?videofile=cs/CM1010/kopparty.mp4">video 2</a>)<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="random-lin-ld.pdf">On the List-<span class=SpellE>Decodability</span> of Random Linear Codes</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with <span class=SpellE>Venkatesan</span> <span class=SpellE>Guruswami</span> and Johan <span class=SpellE>Hstad</span><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="rllld.pdf">Local List-Decoding and Testing of Sparse Random Linear Codes from High-Error</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with Shubhangi Saraf<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="rmtest.pdf">Optimal Testing of Reed-Muller Codes</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpLast style='margin-left:.2in;mso-add-space:auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with Arnab Bhattacharyya, Grant <span class=SpellE>Schoenebeck</span>, <span class=SpellE>Madhu</span> Sudan and David Zuckerman<o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpFirst style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="affine-disperser.pdf">Affine Dispersers from Subspace Polynomials</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with Eli Ben-Sasson<br> <span style='mso-spacerun:yes'></span>(<a href="http://video.ias.edu/csdm/affinedispersers">video</a>)<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="parity.pdf">Random Graphs and the Parity Quantifier</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with <span class=SpellE>Phokion</span> <span class=SpellE>Kolaitis</span><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="kakeya2.pdf"><span class=SpellE>Kakeya</span>-type sets in finite vector spaces</a><br> <span style='mso-spacerun:yes'></span>with <span class=SpellE>Vsevolod</span> Lev, <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span> and Madhu Sudan<br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="multiplicities.pdf">Extensions to the Method of Multiplicities, with applications to <span class=SpellE>Kakeya</span> Sets and Mergers</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpLast style='margin-left:.2in;mso-add-space:auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with <span class=SpellE>Zeev</span> <span class=SpellE>Dvir</span>, <span class=SpellE>Shubhangi</span> <span class=SpellE>Saraf</span> and Madhu Sudan <o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpFirst style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="generalblr.pdf">Tolerant Linearity Testing and Locally Testable Codes</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with Shubhangi Saraf<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><o:p>&nbsp;</o:p></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><a href="andor.pdf">On the Communication Complexity of Read-Once AC<sup>0</sup> formulae</a></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-spacerun:yes'></span>with T.S. <span class=SpellE>Jayram</span> and Prasad <span class=SpellE>Raghavendra</span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="rate-distortion.pdf">The Universal Capacity of <span class=SpellE><span style='mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast'>of</span></span><span style='mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast'> Channels with Given Rate-Distortion in the absence of Common Randomness</span></a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-spacerun:yes'></span>with <span class=SpellE>Mukul</span> Agarwal and <span class=SpellE>Sanjoy</span> <span class=SpellE>Mitter</span><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="homdom.pdf">The Homomorphism Domination Exponent</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with Benjamin <span class=SpellE>Rossman</span><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="rat_points.pdf">Detecting Rational Points on Hypersurfaces over Finite Fields</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with Sergey <span class=SpellE>Yekhanin</span><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="http://eccc.hpi-web.de/eccc-reports/2008/TR08-020/index.html"><span class=SpellE>Decodability</span> of Group <span class=SpellE>Homomorphisms</span> beyond the Johnson Bound</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with <span class=SpellE>Irit</span> <span class=SpellE>Dinur</span>, Elena <span class=SpellE>Grigorescu</span> and Madhu Sudan<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="http://arxiv.org/abs/0708.1707">The Minimum Rank Problem: a counterexample</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with K.P.S. <span class=SpellE>Bhaskara</span> Rao<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="group.pdf">Local Decoding and Testing of Group <span class=SpellE>Homomorphisms</span></a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with Elena <span class=SpellE>Grigorescu</span> and <span class=SpellE>Madhu</span> Sudan<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='margin-left:.2in;mso-add-space: auto;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:"Courier New";mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a href="rsld.pdf">Subspace Polynomials and List Decoding of Reed-Solomon Codes</a><o:p></o:p></span></p> <p class=MsoListParagraphCxSpLast style='margin-left:.2in;mso-add-space:auto'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-spacerun:yes'></span>with Eli Ben-<span class=SpellE>Sasson</span> and <span class=SpellE>Jaikumar</span> <span class=SpellE>Radhakrishnan</span> <o:p></o:p></span></p> <p style='margin:0in;margin-bottom:.0001pt'><b><span style='font-size:13.5pt'><o:p>&nbsp;</o:p></span></b></p> </td> <td width=223 valign=top style='width:369.0pt;border:none;mso-border-left-alt: solid windowtext .5pt;padding:0in 5.4pt 0in 5.4pt'> <p class=MsoNormal style='margin-bottom:12.0pt'><b style='mso-bidi-font-weight: normal'><span style='font-size:18.0pt;mso-bidi-font-size:12.0pt;mso-fareast-font-family: "Times New Roman"'>Local links<o:p></o:p></span></b></p> <p class=MsoNormal style='margin-bottom:12.0pt'><span style='mso-fareast-font-family: "Times New Roman"'><a href="http://sites.google.com/view/dimacs-theory-seminar/home">CS theory seminar</a>, <a href="http://www.math.rutgers.edu/seminars/allseminars.php?sem_name=Discrete%20Math">discrete math seminar</a>, <a href="https://email.rutgers.edu/mailman/listinfo/discrete_math">discrete math mailing list</a>, <br> <a href="https://www.math.rutgers.edu/~st509/2016seminar.htm">CS theory reading group</a><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]><o:p></o:p></span></p> <p class=MsoNormal style='margin-bottom:12.0pt'><b style='mso-bidi-font-weight: normal'><span style='font-size:18.0pt;mso-bidi-font-size:12.0pt;mso-fareast-font-family: "Times New Roman"'>Ph.D. Students<o:p></o:p></span></b></p> <p class=MsoNormal style='margin-bottom:12.0pt'><span style='mso-fareast-font-family: "Times New Roman"'>Current: <a href="http://paul.rutgers.edu/~ab1373/">Abhishek <span class=SpellE>Bhrushundi</span></a>, <a href="http://paul.rutgers.edu/~ap1311/">Aditya <span class=SpellE>Potukuchi</span></a>, Danny <span class=SpellE>Scheinerman</span>, Justin <span class=SpellE>Semonsen</span><br> <br> Graduated: Brian Garnett (2016), <a href="http://math.rutgers.edu/~jonykim/">John Kim</a> (2016), Ross Berkowitz (2017), <a href="http://paul.rutgers.edu/~arb182/"><span class=SpellE>Amey</span> <span class=SpellE>Bhangale</span></a> (2017), <a href="https://dragon.rutgers.edu/~mk1029/"><span class=SpellE>Mrinal</span> Kumar</a> (2017)<o:p></o:p></span></p> <h2><span style='mso-fareast-font-family:"Times New Roman"'>Courses<o:p></o:p></span></h2> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/topics-S18/">Topics in Complexity and <span class=SpellE>Pseudorandomness</span> (Spring 2018, Grad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/CS452-S18/">Formal Languages and Automata (Spring 2018, Undergrad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/combinatorics-F17">Combinatorics I (Fall 2017, Grad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/abstractalgebra-F17">Honors Abstract Algebra (Fall 2017, Undergrad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/problemsolving-F17/">Problem Solving Seminar (Fall 2017, Undergrad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/topics-S17/">Topics in Complexity and <span class=SpellE>Pseudorandomness</span> (Spring 2017, Grad)</a><br> <a href="courses/additive-F16/">Arithmetic Combinatorics (Fall 2016, Grad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/problemsolving-F16/">Problem Solving Seminar (Fall 2016, Undergrad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/codes-S16/">Error-Correcting Codes (Spring 2016, Grad)</a><br> <a href="courses/CS205-S15/">Intro to Discrete Structures I (Spring 2015, Undergrad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/ANT-F14/">Algorithmic Number Theory (Fall 2014, Grad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/NT-F14/">Theory of Numbers (Fall 2014, Undergrad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/algorithms-S14">Algorithms (Spring 2014, Grad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/finitefields-F13/">Topics in Finite Fields (Fall 2013, Grad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="http://www.math.rutgers.edu/~sk1233/courses/problemsolving-F13/">Problem Solving Seminar (Fall 2013, Undergrad)</a><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/topics-S13/">Topics in Complexity and <span class=SpellE>Pseudorandomness</span> (Spring 2013, Grad)</a><o:p></o:p></span></p> <p class=MsoNormal style='tab-stops:178.5pt'><span style='mso-fareast-font-family: "Times New Roman"'><a href="courses/combinatorics-F12">Combinatorics I (Fall 2012, Grad)</a><span style='mso-tab-count:1'> </span><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="courses/problemsolving-F12">Problem Solving Seminar (Fall 2012, Undergrad)</a> <o:p></o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><a href="http://math.rutgers.edu/~sk1233/courses/algorithms-S12/">Algorithms (Spring 2012, Grad)</a><br> <a href="http://math.rutgers.edu/~sk1233/courses/graphtheory-F11/">Graph Theory (Fall 2011, Grad)</a><br> <a href="http://www.math.rutgers.edu/courses/491/491-f11/">Problem Solving Seminar (Fall 2011, Undergrad)</a><o:p></o:p></span></p> <p style='margin:0in;margin-bottom:.0001pt'><b><span style='font-size:18.0pt'><o:p>&nbsp;</o:p></span></b></p> <p style='margin:0in;margin-bottom:.0001pt'><b><span style='font-size:18.0pt'>Videos of miscellaneous talks<o:p></o:p></span></b></p> <p style='margin:0in;margin-bottom:.0001pt'><span style='font-size:13.5pt; mso-bidi-font-weight:bold'><o:p>&nbsp;</o:p></span></p> <p style='margin:0in;margin-bottom:.0001pt'><span style='mso-bidi-font-weight: bold'><a href="http://intractability.cs.princeton.edu/videoplay.html?videofile=cs/CCI%20Fall%202013/November/Kopparty.mp4">Some open problems about codes</a> (Intractability center)<o:p></o:p></span></p> <p style='margin:0in;margin-bottom:.0001pt'><span style='mso-bidi-font-weight: bold'><a href="https://video.ias.edu/conversations/kopparty">Error-correcting codes</a> (IAS  mathematical conversation )<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:1;mso-yfti-lastrow:yes'> <td width=249 valign=top style='width:418.1pt;border:none;border-right:solid windowtext 1.0pt; mso-border-right-alt:solid windowtext .5pt;padding:0in 5.4pt 0in 5.4pt'> <h2><o:p>&nbsp;</o:p></h2> </td> <td width=223 valign=top style='width:369.0pt;border:none;mso-border-left-alt: solid windowtext .5pt;padding:0in 5.4pt 0in 5.4pt'> <p class=MsoNormal style='margin-bottom:12.0pt'><b style='mso-bidi-font-weight: normal'><span style='font-size:18.0pt;mso-bidi-font-size:12.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></b></p> </td> </tr> </table> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> </div> </body> </html>