Selected Publications

Exponential sums, hypergeometric sheaves, and monodromy groups, Annals of Math. Studies, vol. 220 (joint work with N. Katz).

Brauer's height zero conjecture, Annals of Math. 200 (2024), 557 - 608 (joint work with G. Malle, G. Navarro, and A. A. Schaeffer Fry).

Uniform character bounds for finite classical groups, Annals of Math. 200 (2024), 1 - 70 (joint work with M. Larsen).

Character levels and character bounds for finite classical groups, Invent. Math. 235 (2024), 151 - 210 (joint work with R. M. Guralnick and M. Larsen).

Probabilistic Waring problems for finite simple groups, Annals of Math. 190 (2019), 561 - 608 (joint work with M. Larsen and A. Shalev).

The fields of values of characters of degree not divisible by p, Forum of Math. Pi 9 (2021), e2, 1 - 28 (joint work with G. Navarro).

The fields of values of the height zero characters, Advances in Math. 443 (2024), Paper No. 109589, 25 pp. (joint work with G. Navarro, L. Ruhstorfer, and C. Vallejo).

Products of normal subsets, Trans. Amer. Math. Soc. 377 (2024), 863 - 885 (joint work with M. Larsen and A. Shalev).

Characteristic covering numbers of finite simple groups, Math. Annalen 388 (2024), 167 - 189 (joint work with M. Larsen and A. Shalev).

Products of derangements in simple permutation groups, Forum of Math. Sigma 10 (2022), e83, 1 - 30 (joint work with M. Larsen and A. Shalev).

Hypergeometric sheaves and finite symplectic and unitary groups, Cambridge J. Math. 9 (2021), 577 - 691 (joint work with N. Katz).

Monodromy groups of Kloosterman and hypergeometric sheaves, Geom. Funct. Analysis 31 (2021), 562 - 662 (joint work with N. Katz).

Exponential sums and total Weil representations of finite symplectic and unitary groups, Proc. Lond. Math. Soc. 122 (2021), 745 - 807 (joint work with N. Katz).

Character levels and character bounds, Forum of Math. Pi 8 (2020), e2, 81 pages (joint work with R. M. Guralnick and M. Larsen).

Character bounds for finite groups of Lie type, Acta Math. 221 (2018), 1 - 57 (joint work with R. Bezrukavnikov, M. Liebeck, and A. Shalev).

Surjective word maps and Burnside's p^aq^b theorem, Invent. Math. 213 (2018), 589 - 695 (joint work with R. M. Guralnick, M. W. Liebeck, E. O'Brien, and A. Shalev).

Characters of relative p'-degree over normal subgroups, Annals of Math. 178 (2013), 1135 - 1171 (joint work with G. Navarro).

Waring problem for finite simple groups, Annals of Math. 174 (2011), 1885 - 1950 (joint work with M. Larsen and A. Shalev).

First cohomology groups of Chevalley groups in cross characteristic, Annals of Math. 174 (2011), 543 - 559 (joint work with R. M. Guralnick).

A reduction theorem for the Alperin weight conjecture, Invent. Math. 184 (2011), 529 - 565 (joint work with G. Navarro).

The alpha-invariant and Thompson's conjecture, Forum of Math. Pi 4 (2016), e5, 28 pages.

Symmetric powers and a problem of Kollar and Larsen, Invent. Math. 174 (2008), 505 - 554 (joint work with R. M. Guralnick).

Character ratios, representation varieties and random generation of finite groups of Lie type, Advances in Math. 374 (2020), 107386, 39 pp. (joint work with M. Liebeck and A. Shalev).

Lusztig induction, unipotent support, and character bounds, Trans. Amer. Math. Soc. 373 (2020), 8637--8776 (joint work with J. Taylor).

Irreducible restrictions of representations of symmetric and alternating groups in small characteristics, Advances in Math. 369 (2020), 107184, 66pp. (joint work with A. S. Kleshchev and L. Morotti).

A rigid local system with monodromy group the big Conway group 2.Co_1 and two others with monodromy group the Suzuki group 6.Suz, Trans. Amer. Math. Soc. 373 (2020), 2007 - 2044 (joint work with N. Katz and A. Rojas-Leon).

Local systems and finite unitary and symplectic groups, Advances in Math. 358 (2019), 106859, 37 pp. (joint work with N. Katz).

Sylow subgroups, exponents, and character values, Trans. Amer. Math. Soc. 372 (2019), 4263 - 4291 (joint work with G. Navarro).

Fields of values of odd-degree irreducible characters, Advances in Math. 354 (2019), 106757, 26 pp. (joint work with I. M. Isaacs, M. W. Liebeck, and G. Navarro).

Brauer correspondent blocks with one simple module, Trans. Amer. Math. Soc. 371 (2019), 903 - 922 (joint work with G. Navarro and C. Vallejo).

Adequate groups of low degree, Algebra Number Theory 9 (2015), 77 - 147 (joint work with R. Guralnick and F. Herzig).

Real groups and Sylow 2-subgroups, Adv. Math. 299 (2016), 331 - 360 (joint work with G. Navarro).

A refined Waring problem for finite simple groups, Forum of Mathematics, Sigma 3 (2015), e6, 22 pages (joint work with M. Larsen).

Effective results on the Waring problem for finite simple groups, Amer. J. Math. 137 (2015), 1401 - 1430 (joint work with R. M. Guralnick).

Lifting in Frattini covers and a characterization of finite solvable groups, J. Reine Angew. Math. 708 (2015), 49 - 72 (joint work with R. M. Guralnick).

McKay natural correspondences on characters, Algebra Number Theory 8 (2014), 1839 - 1856 (joint work with G. Navarro and C. Vallejo).

On fully ramified Brauer characters, Adv. Math. 257 (2014), 248 - 265 (joint work with G. Navarro and B. Spaeth).

Arithmetic results on orbits of linear groups, Trans. Amer. Math. Soc. 368 (2016), 2415 - 2467 (joint work with M. Giudici, M. Liebeck, C. Praeger, and J. Saxl).

Real ordinary characters and real Brauer characters, Trans. Amer. Math. Soc. 367 (2015), 1273-1312.

Brauer characters and rationality, Math. Z. 276 (2014), 1101 - 1112 (joint work with G. Navarro).

Nilpotent and abelian Hall subgroups in finite groups, Trans. Amer. Math. Soc. 368 (2016), 2497 - 2513 (joint work with A. Beltran, M. Felipe, G. Malle, A. Moreto, G. Navarro, L. Sanus, and R. Solomon).

Representation growth in positive characteristic and conjugacy classes of maximal subgroups, Duke Math. J. 161 (2012), 107 - 137 (joint work with R. M. Guralnick and M. Larsen).

A problem of Kollar and Larsen on finite linear groups and crepant resolutions, J. Europ. Math. Soc. 14 (2012), 605 - 657 (joint work with R. M. Guralnick).

Brauer's height zero conjecture for the 2-blocks of maximal defect, J. Reine Angew. Math. 669 (2012), 225 - 247 (joint work with G. Navarro).

Products of conjugacy classes in finite and algebraic simple groups, Adv. Math. 234 (2013), 618 - 652 (joint work with R. M. Guralnick and G. Malle).

The Ore conjecture, J. Europ. Math. Soc. 12 (2010), 939 -1008 (joint work with M. Liebeck, E. O'Brien, and A. Shalev) (Early version).

Zeros of real irreducible characters of finite groups, Algebra Number Theory 7 (2013), 567 - 593 (joint work with S. Marinelli).

Degrees and p-rational characters, Bull. London Math. Soc. 44 (2012), 1246 - 1250 (joint work with G. Navarro).

Waring problem for finite quasisimple groups, Int. Math. Res. Notices 2013, no. 10, 2323 - 2348 (joint work with M. Larsen and A. Shalev).

The largest irreducible representations of simple groups, Proc. London Math. Soc. 106 (2013), 65 - 96 (joint work with M. Larsen and G. Malle).

Small-dimensional projective representations of symmetric and alternating groups, Algebra Number Theory 6 (2012), 1773 - 1816 (joint work with A. S. Kleshchev).

Conjugacy action, induced representations and the Steinberg square for simple groups of Lie type, Proc. London Math. Soc. 106 (2013), 908 - 930 (joint work with G. Heide, J. Saxl, and A. E. Zaleskii).

Cycle indices for finite orthogonal groups of even characteristic, Trans. Amer. Math. Soc. 364 (2012), 2539 - 2566 (joint work with J. Fulman and J. Saxl).

Degrees of rational characters of finite groups, Adv. Math. 224 (2010), 1121 - 1142 (joint work with G. Navarro).

Representations of general linear groups which are irreducible over subgroups, Amer. J. Math. 132 (2010), 425 - 473 (joint work with A. S. Kleshchev).

Groups with just one character degree divisible by a given prime, Trans. Amer. Math. Soc. 361 (2009), 6521 - 6547 (joint work with I. M. Isaacs, A. Moreto, and G. Navarro).

Representations of finite special linear groups in non-defining characteristic, Adv. Math. 220 (2009), 478 - 504 (joint work with A. S. Kleshchev) ( Early version, arXiv:0810.0849v1 [math.RT]).

Hall-Higman type theorems for semisimple elements of finite classical groups, Proc. London Math. Soc. 97 (2008), 623 - 668 (joint work with A. E. Zalesskii) (Early version, arXiv:0810.0855v1 [math.RT]).

Primes dividing the degrees of the real characters of finite groups, Math. Z. 259 (2008), 755 - 774 (joint work with S. Dolfi and G. Navarro).

Rational irreducible characters and rational conjugacy classes in finite groups, Trans. Amer. Math. Soc. 360 (2008), 2443 - 2465 (joint work with G. Navarro).

p-rational characters and self-normalizing Sylow p-subgroups, Represent. Theory 11 (2007), 84 - 94 (joint work with G. Navarro and A. Turull).

Rational Brauer characters, Math. Annalen 335 (2006), 675 - 686 (joint work with G. Navarro).

Decompositions of small tensor powers and Larsen's conjecture, Represent. Theory 9 (2005), 138 - 208 (joint work with R. M. Guralnick) (dvi file).

Cross characteristic representations of even characteristic symplectic groups, Trans. Amer. Math. Soc. 356 (2004), 4969 - 5023 (joint work with R. M. Guralnick).

On restrictions of modular spin representations of symmetric and alternating groups, Trans. Amer. Math. Soc. 356 (2004), 1971-1999 (joint work with A. S. Kleshchev).

Cross characteristic representations of symplectic groups and unitary groups, J. Algebra 257 (2002), 291 - 347; Addendum, J. Algebra 299 (2006), 443 - 446, (joint work with R. M. Guralnick, K. Magaard, and J. Saxl).

Mod p reducibility of unramified representations of finite groups of Lie type, Proc. London Math. Soc. 84 (2002), 439 - 472 (joint work with A. E. Zalesskii).

Lower bounds for the minima of certain symplectic and unitary group lattices, Amer. J. Math. 121 (1999), 889 - 918 (joint work with N. Dummigan).

Low-dimensional representations of special linear groups in cross characteristic, Proc. London Math. Soc. 78 (1999), 116 - 138 (joint work with R. Guralnick).

''Orthogonal Decompositions and Integral Lattices'', de Gruyter, Berlin, New York 1994, 535 pp. (joint book with A. I. Kostrikin).