The following list contains the confirmed participants of the summer school, as well as their assigned papers. The list is still subject to change. Participants can agree (in personal communication) to swap topics, but both must inform the organizers at the e-mail address summerschoolepfl@gmail.com. Also, the participants are encouraged to reach out to the organizers for clarifications on their assigned topic.
Z. Kelley and R. Meka, Strong bounds for 3-progressions, in 2023 IEEE 64th Annual Symposium on Foundations of Computer Science---FOCS 2023, 933--973, IEEE Computer Soc., Los Alamitos, CA.
Presented by Fred Tyrrell, University of Bristol
J. Leng, A. Sah, and M. Sawhney, Improved bounds for Szemerédi's theorem, arXiv:2402.17995.
Presented by Sophie Maclean, King's College London
B. Green and M. Sawhney, Improved bounds for the Furstenberg--Sárközy theorem, arXiv:2411.17448.
Presented by Daniel Sell, Nicolaus Copernicus University (Torun)
B. Green and M. Sawhney, Primes of the form p2 + nq2, arXiv:2411.17448.
Presented by Yu-Chen Sun, University of Bristol
L. Matthiesen, J. Teräväinen, and M. Wang, Quantitative asymptotics for polynomial patterns in the primes, arXiv:2405.12190.
Presented by Khalid Younis, University of Warwick
S. Peluse, On the polynomial Szemerédi theorem in finite fields, Duke Math. J. 168 (2019), no. 5, 749–774.
Presented by Adrian Beker, University of Zagreb
B. Kra, J. Moreira, F. K. Richter, and D. Robertson, The Density Finite Sums Theorem, arXiv:2504.06424.
Presented by Sean Skinner, University of Sydney (canceled)
B. Kra, J. Moreira, F. K. Richter, and D. Robertson, A proof of Erdős's B+B+t conjecture, Commun. Am. Math. Soc. 4 (2024), 480--494.
Presented by Axel Bastian Alvarez Vargas, University of Chile
T. Tao and T. Ziegler, Infinite partial sumsets in the primes, J. Anal. Math. 151 (2023), no. 1, 375--389.
Presented by Dimitra Tzika, Aristotle University of Thessaloniki
J. Bourgain, P. Sarnak and T. Ziegler, Disjointness of Moebius from horocycle flows, in From Fourier analysis and number theory to Radon transforms and geometry, 67--83, Dev. Math., 28, Springer, New York.
Presented by Seljon Akhmedli, Northwestern University
B. Green and T. Tao, The Möbius function is strongly orthogonal to nilsequences, Ann. of Math. (2) 175 (2012), no. 2, 541--566.
Presented by Christopher Atherfold, University of Bristol
N. Frantzikinakis and B. Host, The logarithmic Sarnak conjecture for ergodic weights, Ann. of Math. (2) 187 (2018), no. 3, 869--931.
Presented by Borys Kuca, Jagiellonian University
T. Tao, The logarithmically averaged Chowla and Elliott conjectures for two-point correlations, Forum Math. Pi 4 (2016), e8, 36 pp.
Presented by Besfort Shala, University of Bristol
T. Tao, The Erdős discrepancy problem, Discrete Anal. 2016, Paper No. 1, 29 pp.
Presented by Andreas Mountakis, University of Crete
K. Matomäki, M. Radziwiłł, and T. Tao, An averaged form of Chowla's conjecture, Algebra Number Theory 9 (2015), no. 9, 2167--2196.
Presented by Yichen You, Durham University
K. Matomäki and M. Radziwiłł, Multiplicative functions in short intervals, Ann. of Math. (2) 183 (2016), no. 3, 1015–1056.
Presented by Sarvagya Jain, University of Turku
O. Klurman, A. P. Mangerel, and J. Teräväinen, On Elliott's conjecture and applications, arXiv:2304.05344.
Presented by Sun Kai Leung, University of Montreal
M. N. Walsh, Local uniformity through larger scales, Geom. Funct. Anal. 31 (2021), no. 4, 981--991.
Presented by Tal Meilin, the Hebrew University of Jerusalem
N. Frantzikinakis and B. Host, Higher order Fourier analysis of multiplicative functions and applications, J. Amer. Math. Soc. 30 (2017), no. 1, 67--157.
Presented by Tristan Radic, Northwestern University
V. Bergelson and F. K. Richter, Dynamical generalizations of the prime number theorem and disjointness of additive and multiplicative semigroup actions, Duke Math. J. 171 (2022), no. 15, 3133--3200.
Jointly presented by Saul Rodriguez and Linus Ge, Ohio State University
J. Moreira, Monochromatic sums and products in ℕ, Ann. of Math. (2) 185 (2017), no. 3, 1069--1090.
Presented by Vicente Saavaedra Araya, University of Warwick
M. Bowen and M. Sabok, Monochromatic products and sums in the rationals, Forum Math. Pi 12 (2024), Paper No. e17.
Presented by Ioannis Kousek, University of Warwick
N. Frantzikinakis, O. Klurman, and J. Moreira, Partition regularity of Pythagorean pairs, arXiv:2309.10636.
Presented by Guilherme Puim de Azevedo, NOVA University Lisbon