PANTHA = Purdue Analytic Number Theory and Harmonic Analysis Seminar

Organisers: Anurag Sahay, Alisa Sedunova, Victor Lie and Trevor D. Wooley

Location: SCHM 112 (formerly known as REC 112, adjacent to UNIV)

Fall 2024


Thursday 21st November 2024, 10:00 (*** Note special time and location ZOOM ***): Markus Hagen (NTNU Trondheim), Sharp conditional moment bounds for product of L-functions.

Thursday 14th November 2024, 10:00 (*** POSTPONED ***): Markus Hagen (NTNU Trondheim), Sharp conditional moment bounds for product of L-functions.

Wednesday 6th November 2024, 15:30: *** No speaker this week ***

Wednesday 30th October 2024, 15:30: *** No speaker this week ***

Thursday 24th October 2024, 10:00 (*** Note special time and location SC 239 ***): Aliaksei Semchankau (Carnegie Mellon), On the sequence n! mod p.

Wednesday 23rd October 2024, 15:30: Alex Iosevich (U. Rochester), Analytic, combinatorial and arithmetic aspects of signal recovery.

Thursday 17th October 2024, 10:00 (*** Note special time and location ZOOM ***): Winston Heap (Max Planck, Bonn), Simultaneous extreme values of zeta and L-functions.

Wednesday 16th October 2024, 15:30: Alexandre de Faveri (Stanford U.), Non-vanishing for cubic Hecke L-functions.

Thursday 10th October 2024, 10:00 (*** Note special time and location Lily 1117 ***): Joseph Leung (Rutgers U.), Second moment of GL(3) L-functions.

Thursday 3rd October 2024, 10:00 (*** Note special time and location ZOOM ***): Cecile Dartyge (Institut Elie Cartan de Lorraine, Nancy), On the largest prime factor of polynomial values, the cyclic and dihedral cases.

Wednesday 25th September 2024, 15:30: *** No speaker this week ***

Wednesday 18th September 2024, 15:30: Anurag Sahay (Purdue U.), The VC-dimension of quadratic residues in finite fields

Wednesday 11th September 2024, 15:30: *** No speaker this week ***

Wednesday 4th September 2024, 15:30: Ilya D. Shkredov (Purdue U.), Uncertainty for convolutions of sets


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Spring 2024


Wednesday 31st January 2024, 15:30: Chantal David (Concordia U.), Moments of cubic L-functions over F_q(t) at s=1/3

Wednesday 7th February 2024, 15:30: Alexander MacDonald (Ohio State U.), Prescribed projections and efficient coverings of sets by curves

Wednesday 14th February 2024, 15:30: Ilya Shkredov (Purdue U.), The sum-product problem for integers with few prime factors

Wednesday 21st February 2024, 15:30: James Cumberbatch (Purdue U.), Smooth integers with restricted digits

Wednesday 28th February 2024, 15:30: Kyle Pratt (Brigham Young U.), Rational points on Erdos-Selfridge curves

Wednesday 6th March 2024, 15:30: Brad Rodgers (Queen's U., Kingston), Best approximation by restricted divisor sums and random matrix integrals

Wednesday 13th March 2024, 15:30: SPRING BREAK -- no talk this week!

Wednesday 20th March 2024, 15:30: Keshav Aggarwal (U. Copenhagen), Subconvexity over number fields via delta method

Wednesday 27th March 2024, 15:30: Peter Zenz (Stanford), On geodesic restriction problems and sig changes of cusp forms

Wednesday 3rd April 2024, 15:30: Ofir Gorodetsky (U. Oxford), On an Erdos-Kac-type conjecture of Elliott, and shifted primes

Tuesday 9th April 2024, 11:00 (*** Note special time and location BRNG 1254 ***): Junxian Li (U. C. Davis), Two dimensional delta symbol and applications to quadratic forms

Wednesday 10th April 2024, 15:30: Alisa Sedunova (Purdue U.), The multiplication table constant and sums of two squares

Friday 12th April 2024, 9:00 (*** Note special time and location SCHM 307 ***): Taylor Daniels (Purdue U.), The asymptotics of some signed partition numbers (*** Special PANTHA Thesis Defense ***)

Wednesday 17th April 2024, 15:30: Alex Dunn (Georgia Tech.), Quartic Gauss sums over primes and metaplectic theta functions

Wednesday 24th April 2024, 15:30: Akshat Mudgal (U. Oxford), Expanding polynomials on sets with few products

Wednesday 1st May 2024, 10:30 (*** Note special time and location SCHM 112 ***): Kiseok Yeon (Purdue U.), On Diophantine problems in many variables (*** Special PANTHA Thesis Defense ***)


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Fall 2023


Wednesday 4th October 2023, 15:30: Anurag Sahay (Purdue U.), Moments of the Hurwitz zeta function on the critical line and related problems

Wednesday 11th October 2023, 15:30: Trevor Wooley (Purdue U.), Superirreducibility

Wednesday 18th October 2023, 15:30: No talk this week

Wednesday 25th October 2023, 15:30: Kevin Kwan (University College London), Some aspects of moments

Wednesday 1st November 2023, 15:30: Kiseok Yeon (Purdue U.), The Hasse principle for random homogeneous polynomials in thin sets

Wednesday 8th November 2023, 15:30: Changkeun Oh (MIT), Discrete restriction estimates for manifolds avoiding a line (note: on zoom only!)

Wednesday 15th November 2023, 15:30: No talk this week

Wednesday 22nd November 2023, 15:30: Thanksgiving Break -- no talk this week

Wednesday 29th November 2023, 15:30: No talk this week

Wednesday 6th December 2023, 15:30: Victor Lie (Purdue U.), On the curved trilinear Hilbert transform


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Spring 2022


Thursday 20th January 2022, 10:00: Kevin Hughes (U. Bristol), Extension operators for curves revisited

Thursday 27th January 2022, 10:00: Joerg Bruedern (U. Goettingen), Bracketed ternary additive problems

Thursday 3rd February 2022, 10:00: Christina Roehrig (U. Koeln), Indefinite theta series with (spherical) polynomials

Wednesday 9th February 2022, 15:30: No speaker

Wednesday 16th February 2022, 15:30: Kiseok Yeon (Purdue U.), Fractional parts of binary forms

Thursday 7th April 2022, 10:00: Javier Pliego Garcia (KTH, Stockholm), Mixed moments of the Riemann zeta function

Wednesday 13th April 2022, 15:30: Hongki Jung (Indiana U.), A small cap decoupling for the twisted cubic

Thursday 21st April 2022, 10:00: Simon Rydin Myerson (U. Warwick), Additive problems with almost prime squares



Fall 2021


Wednesday 25th August 2021, 15:30: Trevor Wooley (Purdue U.), Paucity problems and some relatives of Vinogradov's mean value theorem

Thursday 2nd September 2021, 10:00: Rainer Dietmann (Royal Holloway, University of London), Probabilistic Galois theory

Thursday 9th September 2021, 10:00: Evan O'Dorney (U. Notre Dame), Reflection theorems for number rings

Wednesday 15th September 2021, 15:30: Victor Wang (Princeton U.), Conditional approaches to sums of cubes

Wednesday 22nd September 2021, 15:30: Dan Fretwell (University of Bristol), Interacting particle systems and Jacobi style identities

Wednesday 29th September 2021, 15:30: Edna Jones (Rutgers), A local-global principle for integral Kleinian sphere packings

Thursday 7th October 2021, 10:00: Simon Marshall (U. Wisconsin), postponed at speaker's request to November 11 (so no seminar this week)

Thursday 14th October 2021, 10:00: Gene Kopp (Purdue U.), Wannabe modularity, the Shintani-Faddeev cocycle, and Stark units

Wednesday 20th October 2021, 15:30: Micah Milinovich (University of Mississippi), Hilbert spaces and low-lying zeros of L-functions

Wednesday 27th October 2021, 15:30: No Speaker

Wednesday 3rd November 2021, 15:30: Mariusz Mirek (Rutgers), Pointwise ergodic theorems for polynomial averages

Thursday 11th November 2021, 10:00: Simon Marshall (U. Wisconsin) ( *** CANCELLED (again!) owing to speaker illness *** )

Wednesday 17th November 2021, 15:30: Brandon Hanson (U. Maine), Super quadratic expansion and dot products

Wednesday 24th November 2021, No Speaker -- get ready for Turkey Day

Wednesday 1st December 2021, 15:30: Simon Marshall (U. Wisconsin) Large values of eigenfunctions on hyperbolic manifolds

Wednesday 8th December 2021, 10:00: Kien Huu Nguyen (K. U. Leuven), Some new progress on Igusa's conjecture for exponential sums (joint with Model Theory and Applications Seminar)

Wednesday 15th December 2021, 15:30: Speaker (Institution), Title

Wednesday 22nd December 2021, No Speaker -- get ready for Professor Ho Ho Ho