About

I am a professor of mathematics at UC San Diego, where my activities include research and teaching. I also serve on the editorial board of the open access journal Algebraic Combinatorics.

Research topics

• Statistical physics
• Mathematics
• Physics
• Mathematical physics
• Pure mathematics

Selected publications

• Disordered Schur Measures

  arXiv (Cornell University) · 2026-03-31

  preprintOpen access1st authorCorresponding

  In this paper, we introduce and study random Schur measures whose parameters are sampled from the Circular Unitary Ensemble. We show that Schur measures with CUE disorder exhibit behavior reminiscent of spin glasses.

  PublisherDOI

• Disordered Schur Measures

  ArXiv.org · 2026-03-31

  articleOpen access1st authorCorresponding

  In this paper, we introduce and study random Schur measures whose parameters are sampled from the Circular Unitary Ensemble. We show that Schur measures with CUE disorder exhibit behavior reminiscent of spin glasses.

  PublisherOA PDF

• First‐in‐Human Phase 1 Study to Evaluate the Clinical Pharmacology Properties of RBN‐3143, a Novel Inhibitor of Mono‐Adenosine Diphosphate Ribosyltransferase‐PARP14

  Clinical Pharmacology in Drug Development · 2025-04-30 · 3 citations

  articleOpen access

  Abstract RBN‐3143 is an inhibitor of PARP14 in development for inflammatory diseases. Multiple assessments were conducted to evaluate the clinical pharmacology properties of RBN‐3134. A randomized, double‐blind, placebo‐controlled study assigned healthy volunteers (HVs) to single ascending doses (SADs) (25‐1000 mg) or multiple ascending doses (MADs) (150, 300, and 500 mg twice daily [BID] for 14 days) of RBN‐3143 or placebo. An open‐label, randomized, 3‐period, cross‐over study evaluated the effects of food and pantoprazole (40 mg once daily [QD]) on the pharmacokinetics of RBN‐3143 (500 mg), and a pharmacokinetic drug–drug interaction study with oral midazolam (2 mg) determined whether RBN‐3143 (300 mg BID for 14 days) is an inducer of cytochrome P4503A4 (CYP3A4). The most common treatment‐related treatment‐emergent adverse events in subjects taking RBN‐3143 were headache, nausea, vomiting, and elevated serum creatinine. In the SAD, RBN‐3143 C max and AUC inf increased with dose, and T max was 2 hours. RBN‐3143 was cleared from plasma with an apparent terminal half‐life ranging from 3 to 11 hours. In the MAD, C max and AUC inf increased 1.5‐ and 1.6‐fold, respectively, following 14 days of 150, 300, and 500 mg BID dosing. Dosing of RBN‐3143 with food resulted in higher C max and AUC inf ratios of 1.74 and 1.42, respectively. Coadministration with pantoprazole did not impact RBN‐3143 exposure. RBN‐3143 was an inducer of CYP3A4 in most but not all subjects, with mean midazolam C max and AUC inf ratios of 0.92 and 0.88, respectively. The clinical pharmacology properties of RBN‐3143 in HVs support further development for inflammatory diseases.

  PublisherOA PDFDOI

• Quasimodular Asymptotics of Spherical Integrals

  ArXiv.org · 2025-02-19

  preprintOpen access1st authorCorresponding

  We show that the spherical integral of the Circular Unitary Ensemble converges in expectation to Euler's generating function for integer partitions, and that subleading corrections to this high-dimensional limit are quasimodular forms.

  PublisherOA PDFDOI

• Hypergeometric Functions of Random Matrices and Quasimodular Forms

  arXiv (Cornell University) · 2024-10-05

  preprintOpen access1st authorCorresponding

  Hypergeometric functions of complex matrices were introduced by James in multivariate statistics. These special functions play many roles in random matrix theory. The main goal of this paper is to suggest a new use for them as holomorphic observables of the Circular Unitary Ensemble. We analyze the high-dimensional behavior of the expected derivatives of these random analytic functions, and show that they admit asymptotic expansions which can be described in terms of quasimodular forms, giving an apparently new connection between the CUE and number theory.

  PublisherOA PDFDOI

• On the 2D Yang-Mills/Hurwitz Correspondence

  arXiv (Cornell University) · 2024-01-01 · 1 citations

  preprintOpen access1st authorCorresponding

  In this paper, we show that in the large $N$ limit two-dimensional Yang-Mills theory with $U(N)$ gauge group becomes mixed Hurwitz theory, in the sense that the $1/N$ expansion of the chiral partition function receives contributions from both classical and monotone Hurwitz theory for all but finitely many compact orientable spacetimes.

  PublisherOA PDFDOI

• Increasing subsequences and Kronecker coefficients

  Proceedings of symposia in pure mathematics · 2024-08-06 · 2 citations

  other1st authorCorresponding
  PublisherDOI

• ISID1096 - The PARP14 inhibitor RBN-3143 suppresses skin inflammation in preclinical models

  2023-05-05 · 1 citations

  preprint
  PublisherDOI

• The Weingarten Calculus

  Notices of the American Mathematical Society · 2022-04-14 · 2 citations

  preprintOpen accessSenior author

  This is a short introduction to Weingarten Calculus. Weingarten Calculus is a method to compute the joint moments of matrix variables distributed according to the Haar measure of compact groups.

  PublisherDOI

• Topological Expansion of Oscillatory BGW and HCIZ Integrals at Strong Coupling

  arXiv (Cornell University) · 2022-03-21

  preprintOpen access1st authorCorresponding

  We prove that the BGW and HCIZ integrals admit large N topological expansions for complex coupling and complex external fields, provided the coupling is sufficiently strong. The expansion coefficients are holomorphic functions which are genus-specific generating functions for the monotone single and double Hurwitz numbers, respectively.

  PublisherOA PDFDOI

Recent grants

• Invariant Ensembles of Random Matrices: New Techniques, New Horizons

  NSF · $150k · 2018–2022

Frequent coauthors

• Sho Matsumoto

  Kyushu University

  12 shared

• Mathieu Guay-Paquet

  Université du Québec à Montréal

  9 shared

• I. P. Goulden

  University of Waterloo

  9 shared

• C. Benoît

  Kyoto University

  6 shared

• Maciej Dołęga

  3 shared

• Alice Guionnet

  Unité de Mathématiques Pures et Appliquées

  3 shared

• Colin McSwiggen

  3 shared

• Piotr Śniady

  3 shared

Awards & honors

• Hellman Fellowship
• Lattimer Fellowship
• Simons-CRM Scholar