I am a Hill Assistant Professor (postdoc) in the Department of Mathematics at Rutgers University, New Jersey.
My primary area of research is several complex variables. I study its connections to convex geometry, approximation theory and symplectic geometry.
Since Fall 2018, I have co-organized the Rutgers Complex Analysis and Geometry Seminar with Xiaojun Huang.
Publications & Preprints
Papers
- Polynomially convex embedddings of even-dimensional compact manifolds (with R. Shafikov).
arXiv
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), to appear. - The rational hull of Rudin's Klein bottle (with J. T. Anderson & E. L. Stout).
arXiv
Proc. Amer. Math. Soc., to appear. - A real-analytic nonpolynomially convex isotropic torus with no attached discs.
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Canad. Math. Bull. 61 (2018), No. 2, 289-291. - Rational and polynomial density on compact real manifolds (with R. Shafikov).
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Internat. J. Math. 28 (2017), No. 5, 17pp. - Convex floating bodies as approximations of Bergman sublevel sets on tube domains.
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Proc. Amer. Math. Soc. 145 (2017), No. 10, 4385-4396. - Volume approximations of strongly pseudoconvex domains.
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J. Geom. Anal. 27 (2017), Issue 2, 1029–1064. - Lower-dimensional Fefferman measures via the Bergman kernel. PDF
Contemp. Math. 681 (2017), 137-152. - Two extension theorems of Hartogs-Chirka type involving continuous multifunctions.
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Mich. Math. J. 60 (2011), Issue 3, 675-685.
Theses
- Fefferman's hypersurface measure and volume approximation problems.
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Ph.D. Thesis, University of Michigan, Ann Arbor. - Some descriptions of the envelopes of holomorphy of domains in $\mathbb{C}^n$ .
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M.S. Thesis, Indian Institute of Science, Bangalore.
Teaching
Current
TBAPast
Rutgers University: Math 311 (Introduction to Real Analysis I), 477 (Mathematical Theory of Probability), Math 152 (Calc II for Math/Phy).
Uniersity of Western Ontario: Calculus 1000A, Math 0110A (Introduction to Calculus) and 1600B (Linear Algebra).
University of Michigan: Math 105 (Pre-Calculus), Math 115 (Calculus I) and Math 116 (Calculus II).
Upcoming Travel
- Midwest Several Complex Variables , University of Michigan - Dearborn, Oct. 11 - 13, 2019.
- Centro Internazionale per la Ricerca Matematica (for Research in Pairs), Trento, Jan. 6 - 16, 2020.
- AMS-AWM Special Session on Women in Several Complex Variables, JMM, Denver, Jan. 17-18, 2020.
Slides, Notes, Etc.
- Rational and Polynomial Density on Compact Real Manifolds. Northeastern Analysis Network, Rochester, NY, Sept. 2016.
- Sub-level sets of the Bergman kernel on tube domains. Special Session on Partial Differential Equations in Complex Analysis, JMM, Seattle, 2016.
- Asymptotic estimates for volume approximations of pseudoconvex domains. Analysis and Geometry in SCV, TAMUQ, Doha, Jan. 2015.
- Some generalizations of Hartogs' lemma on analytic continuation. Analysis Seminar, UWO, London, March 2013.