Anurag Sahay

Welcome to my academic webpage. Starting in August, 2026, I will be a Phillip Griffiths Assistant Research Professor\({}^\dagger\) in the Department of Mathematics, Duke University, mentored by Lillian Pierce. Prior to this (2023–2026), I was a Golomb Visiting Assistant Professor\({}^\dagger\) in the Department of Mathematics, Purdue University, mentored by Trevor Wooley. Even before that (2018–2023), I was a graduate student of Steve Gonek at the University of Rochester. Some links: Duke Email Purdue Email arXiv MathSciNet MathOverflow In the past, I co-organized the PANTHA seminar at Purdue and 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 Please note that my Rochester email (anuragsahay@rochester.edu, asahay@ur.rochester.edu) is no longer active.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/Upcoming Travel

• [15-Apr-2026]: Duke University\({}^\star\)

• [10-May-2026] to [23-May-2026]: Universal Statistics in Number Theory, CRM Montréal

• [17-Aug-2026] to [21-Aug-2026]: ANTeater’26 (Analytic Number Theory @ UC Irvine)\({}^\star\)

• [10-Oct-2026] to [11-Oct-2026]: 2026 AMS Fall Southeastern Sectional Meeting, Kennesaw State University\({}^\star\)

• [14-Dec-2026] to [18-Dec-2026]: AIM Workshop: Probabilistic methods, random matrices, and L-functions

Recent Highlights

• [20-May-2026]: gave a talk at the weekly seminar of the thematic semester on Universal Statistics in Number Theory at CRM Montréal.

• [04-May-2026]: revised a preprint entitled ‘A note on the Möbius uncertainty principle for posets’ on the arXiv.

• [15-Apr-2026]: gave a talk at the Number Theory Seminar at Duke University.

• [23-Mar-2026]: gave a talk at the Mathematics Seminar at TIFR Mumbai.

• [19-Mar-2026]: our paper (joint with Alexandra Florea, Matilde Lalín, and Amita Malik) entitled ‘The shifted convolution problem in function fields’ was published in Mathematische Annalen.

• [18-Mar-2026]: gave a talk at the Number Theory Seminar at IISER Pune.

• [17-Mar-2026]: gave a talk at the Number Theory Seminar at IISc Bengaluru.

• [18-Feb-2026]: gave a talk at the Algebraic Geometry and Number Theory Seminar at UC Davis.

• [10-Feb-2026]: gave a talk at the Number Theory Seminar at UIUC.

• [26-Jan-2026]: gave a talk at the Number Theory Seminar at Stanford University.

• [12-Jan-2026]: teaching MA 425 in Spring 2026.

• [06-Jan-2026]: co-organized (with Matilde Lalín and Kiseok Yeon) an AMS Special Session on Recent Trends in Analytic Number Theory at the Joint Mathematics Meetings 2026 held in Washington, DC.

• [09-Dec-2025]: gave a zoom talk at the University of Memphis.

• [07-Nov-2025]: gave a zoom talk at ICTS, Bengaluru.

• [25-Aug-2025]: teaching MA 303 in Fall 2025.

• [24-Aug-2025]: co-organized (with Alexandra Florea) a Special Session on Analytic Number Theory and Related Topics at the AMS Fall 2025 Western Sectional Meeting held in Denver, CO.

• [17-Jun-2025]: uploaded a preprint (joint with Brad Rodgers) entitled ‘The VC-dimension of random subsets of finite groups’ to the arXiv.

• [06-Apr-2025]: attended and gave two talks at the AMS Spring 2025 Eastern Sectional Meeting held at Hartford, CT.

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

• [13-Jan-2025]: teaching MA 351 in Spring 2025.

• [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.

• [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.

• [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!

• [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!