Anurag Sahay

Welcome to my academic webpage. I am (as of March, 2025) a Golomb Visiting Assistant Professor\({}^\dagger\) in the Department of Mathematics, Purdue University, mentored by Trevor Wooley. From 2018 to 2023, I was a graduate student of Steve Gonek at the University of Rochester. My office is MATH 402 at the West Lafayette campus. Other links: Purdue Email arXiv MathSciNet MathOverflow I co-organize the PANTHA seminar at Purdue. In the past, I organized the graduate seminar of the NSF FRG on averages of \(L\)-functions and arithmetic stratification. Please see the seminar webpages for more information. Please note that my Rochester email (anuragsahay@rochester.edu, asahay@ur.rochester.edu) is no longer active.

Recent Highlights

• [22-Feb-2025]: uploaded a preprint (joint with Alexandra Florea, Matilde Lalín, and Amita Malik) entitled ‘The shifted convolution problem in function fields’ to the arXiv.

• [28-Jan-2025]: gave a talk at the Number Theory Seminar at Rutgers University.

• [20-Dec-2024]: uploaded a preprint (joint with Steve Gonek) entitled ‘Consecutive moderate gaps between zeros of the Riemann zeta function’ to the arXiv.

• [04-Dec-2024]: gave a talk at the Number Theory Seminar at Kansas State University.

• [28-Nov-2024]: gave a talk at the Number Theory Seminar at Queen's University.

• [23-Nov-2024]: our paper (joint with Winston Heap) entitled ‘The fourth moment of the Hurwitz zeta function’ was published in J. Reine Angew. Math. (Crelle's journal).

• [21-Nov-2024]: gave a talk at the Number Theory Seminar at IIT Bombay.

• [14-Nov-2024]: gave a talk at the Number Theory Seminar at ISI Kolkata.

• [19-Nov-2024]: gave a talk at the Mathematics Colloquium at IMSc Chennai.

• [07-Nov-2024]: attended and gave a talk (video) at Circle Method and Related Topics held at ICTS Bengaluru.

• [23-Oct-2024]: our paper (joint with Joshua Cooper and Dheer Noal Desai) entitled ‘Principal eigenvectors and principal ratios in hypergraph Turán problems’ was published in Electron. J. Linear Algebra.

• [16-Aug-2024]: our paper (joint with Brian McDonald and Emmett Wyman) entitled ‘The VC-dimension of quadratic residues in finite fields’ was published in Discrete Math.

• [28-May-2024]: attended and gave a talk (video) at SCHOLAR II held at the Fields Institute.

• [09-May-2024]: gave a talk at the Quebec-Vermont Number Theory Seminar in Montréal.

• [21-Feb-2024]: gave a talk at the Analytic Number Theory Seminar at Stanford.

• [12-Feb-2024]: gave a talk at the Combinatorics and Discrete Probability Seminar at University of Illinois, Chicago.

• [08-Jan-2024]: teaching MA 351 in Spring 2024.

• [07-Oct-2023]: attended and gave a talk at the Special Session on Analytic Number Theory and related fields at the AMS Fall 2023 Central Sectional Meeting held at Creighton University.

• [21-Aug-2023]: teaching MA 265 in Fall 2023.

• [14-Aug-2023]: joined Purdue as a Golomb VAP.

• [19-Jul-2023]: defended my thesis!

• [01-May-2023]: my manuscript entitled ‘Moments of the Hurwitz zeta function on the critical line’ was published in Math. Proc. Cambridge Philos. Soc.; it was previously published online via First View on 28-Nov-2022.

• [16-Apr-2023]: a student (Caden Dillon) from my Math 165 (Spring 2023) class wrote and drew a comic featuring me for UofR's Campus Times!