Phone: +1 765 496 6439
E-mail: twooley@purdue.edu
Address: Department of Mathematics, Purdue University, 150 N. University St., West Lafayette, IN 47907-2067
Title: Andris A. Zoltners Distinguished Professor of Mathematics
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PANTHA (Purdue Analytic Number Theory and Harmonic Analysis) Seminars Teaching: MATH 595 Analytic Theory of Function Fields (Fall 2024). MATH 495/595 Introduction to Number Theory (coming soon!) (Spring 2025). Past Teaching. ------------------------------------------------------------------------------- CV/Bibliography (pdf)Publication list: To learn about some of my more recent interests, look here or here or here.
EFFICIENT CONGRUENCING: The current hot topic for me is the new efficient congruencing approach to Vinogradov's mean value theorem, which now delivers the best possible bounds for the number of variables required to deliver optimal estimates, proving the main conjecture in Vinogradov's mean value theorem. You can read about this subject here.
Notes on the publication: J. Bruedern, K. Kawada and T. D. Wooley, "Additive representation in thin sequences, VIII: Diophantine inequalities in review", in: Number Theory, Dreaming in Dreams, Proceedings of the 5th China-Japan Seminar, Eds. T. Aoki, S. Kanemitsu and J. Y. Liu, World Scientific, 2009, pp. 20--79.
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Editorial work:
I'm on the Editorial Board for MATHEMATIKA. If you want to submit a paper to this journal, DO NOT send the manuscript directly to me, neither by paper mail nor electronically. See here for submission instructions.
I'm on the Editorial Board for the ONLINE JOURNAL OF ANALYTIC COMBINATORICS. If you want to submit a paper to this journal, DO NOT send the manuscript directly to me, neither by paper mail nor electronically. See here for submission instructions.
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Journal prices and a quick opinion on open-access journals Quick Opinion: The trouble with "quick opinions" -------------------------------------------------------------------------------
My students:
Atal Bhargava (PhD 202?, Purdue University);
Ben Doyle (PhD 202?, Purdue University);
James Cumberbatch (PhD 202?, Purdue University);
Daniel Flores (PhD 202?, Purdue University);
Kiseok Yeon (PhD 2024, Purdue University; now at U. C. Davis);
Taylor Daniels (PhD 2024, Purdue University [joint with D. B. MacReynolds]; now at Purdue University);
Javier Pliego Garcia (PhD 2021, University of Bristol; now at Universita degli Studi di Genova);
Akshat Mudgal (PhD 2021, University of Bristol; now at University of Oxford);
Konstantinos Poulias (PhD 2021, University of Bristol);
Lara Du (PhD 2020, University of Michigan [joint with M. Jonsson], and special thanks to J. Lagarias; now at Berea College);
Kirsti Biggs (PhD 2019, University of Bristol; now at University of Uppsala);
Bin Wei (1 year visiting PhD student from Shandong University, Jinan; now at Tianjin University);
Sam Chow (PhD 2016, University of Bristol; now at University of Warwick);
Thomas Bloom (PhD 2014, University of Bristol; now at University of Oxford);
Julia Brandes (PhD 2014, University of Bristol; now at University of Gothenburg);
Siu Lun Alan Lee (PhD 2013, University of Bristol);
Damaris Schindler (PhD 2013, University of Bristol [joint with Tim Browning]; now at University of Goettingen);
Eugen Keil (PhD 2013, University of Bristol);
Sean Prendiville (PhD 2011, University of Bristol; now at Lancaster University);
Craig Spencer (PhD 2008, University of Michigan; now at Kansas State University);
Matthew Smith (PhD 2007, University of Michigan; now at Berklee College of Music);
Mike Knapp (PhD 2000, University of Michigan; now at Loyola College);
Scott Parsell (PhD 1999, University of Michigan; now at West Chester University);
Eric Freeman (PhD 1999, University of Michigan; now at Stanford University);
Joel Wisdom (PhD 1998, University of Michigan; now at U.S. Government)
Greg Martin (PhD 1997, University of Michigan [joint with Hugh Montgomery], now at University of British Columbia)
Morley Davidson (PhD 1995, University of Michigan; now at Kent State University, Ohio) NEWS ITEM!
