Principal Investigators
Martin Olsson (Collaboration Director)
Martin Olsson is a professor and department chair at UC Berkeley. He received his PhD from UC Berkeley in 2001 after which he took postdocs at MIT, MSRI, and the Institute for Advanced Study before joining the faculty at UT Austin. He returned to UC Berkeley in 2006. In addition to his research and teaching, he has served as department chair twice (2016-2019 and presently) as well as associate dean (2021-22). Among other recognitions he has received a Sloan Fellowship and Simons Fellowship.
Benjamin Antieau
Bhargav Bhatt
Kęstutis Česnavičius
Kęstutis Česnavičius is a chargé de recherche of the CNRS working at Université Paris-Saclay. He received his PhD in mathematics from MIT in 2014 under the supervision of Bjorn Poonen and has held positions at UC Berkeley and Universität Bonn prior to joining the CNRS in 2017. He is the recipient of the prize of the Lithuanian Mathematical Society in 2018.
Česnavičius is known for introducing the perfectoid approach to the study of cohomological purity questions in arithmetic geometry, which allowed him to resolve conjectures of Auslander–Goldman, of Grothendieck and, in joint work with Scholze, also of Gabber.
Dustin Clausen
Dustin Clausen received his PhD from MIT in 2013 under the direction of Jacob Lurie, and after positions in Copenhagen and Bonn is currently a permanent professor of mathematics at the IHES.
He is known for his work on algebraic K-theory, on connections between homotopy theory and arithmetic, and more recently and jointly with Peter Scholze, on the development of condensed mathematics and the attendant approach to analytic geometry.
Pierre Colmez
Pierre Colmez received his PhD from Grenoble and is currently Directeur de recherche at CNRS, based in Sorbonne Université (ex-Paris 6). He received the 2005 Fermat prize and was invited speaker at ICM1998 in Berlin and ECM2012 in Krakow. He also launched the 'Documents mathématiques' series of Société Mathématique de France.
Colmez works in the $p$-adic world (Hodge Theory of $p$-adic varieties, Galois représentations of $p$-adic fields and $p$-adic Langlands program), keeping an eye on applications to Number Theory.
Aise Johan de Jong
Johan de Jong is professor and chair of the Department of Mathematics of Columbia University. He received his Ph.D. from Radboud University in the Netherlands in 1992. After postdoc positions at MPIM Bonn, University of Utrecht and Harvard, he was a professor at Princeton University and MIT before moving to his current position. He was an invited speaker at the ICM in 1998, received the Cole Prize in 2000, and was awarded the Leroy P. Steele Prize in 2022.
Johan de Jong is an algebraic geometer who has worked among other things on crystalline Dieudonn\'e module theory, $p$-divisible groups, rigid analytic spaces, moduli of rational curves on algebraic varieties, Brauer groups, and is currently the maintainer of the Stacks project.
Matthew Emerton
Matthew Emerton is Professor at University of Chicago. He received his PhD from Harvard in 1998, and following a postdoc at the University of Michigan and an Assistant Professorship at University of Chicago, spent 10 years as a faculty member at Northwestern University before returning to Chicago in 2011. He was an invited speaker at the 2014 ICM.
Emerton's areas of research are number theory, arithmetic geometry, and representation theory.
Toby Gee
Toby Gee received his PhD from Imperial College London where he is currently a professor. He is a Fellow of the American Mathematical Society, and a former winner of the Leverhulme Prize and the LMS Whitehead Prize.
Gee is a number theorist who works in the Langlands program, in particular on the modularity of p-adic Galois representations.
Jacob Lurie
Jacob Lurie received his PhD from MIT and is currently the Frank C. and Florence S. Ogg Professor at the Institute of Advanced Study. He is a 2014 MacArthur Fellow and a recipient of the Breakthrough Prize in Mathematics in 2015.
His work lies at the intersection of homotopy theory and algebraic geometry, with an emphasis on the applications of higher-categorical ideas to both subjects.
Akhil Mathew
Akhil Mathew received his PhD from Harvard in 2017 and was a Clay Research Fellow from 2017 to 2022. He was appointed as an Associate Professor at the University of Chicago in 2022.
Mathew's research interests are in algebraic K-theory, topological cyclic homology, and $p$-adic geometry. His contributions include descent and rigidity theorems for modules and in chromatically localized algebraic K-theory, the introduction of the arc-topology on schemes, and the calculation of syntomic cohomology for regular schemes.
Wiesława Nizioł
Wiesława Nizioł received her PhD from Princeton University and is currently directrice de recherche at CNRS, based at IMJ-PRG, Sorbonne University. She is a Member of Academia Europaea and was an invited speaker at ICM2006 in Madrid.
She is an arithmetic algebraic geometer who works on cohomology theories, in particular on $p$-adic Hodge Theory and its applications.
Peter Scholze
Postdocs
Abhinandan
Grigory Andreychev
Grigory Andreychev received his Ph.D. from Bonn in 2023 and is currently a postdoc at the Institute for Advanced Study.
His principal mathematical interests lie in the fields of arithmetic geometry, $K$-theory, and higher category theory. He is particularly interested in the structures and methods arising in the latter two areas that can be used to better understand questions in the former.
Toni Annala
Chengyang Bao
Chengyang Bao received her PhD from the University of Chicago in 2024. She is currently a Hedrick Assistant Adjunct Professor at UCLA, and will join the Simons Collaboration in Fall 2025.
Bao's research interests lie in the Langlands program, particularly the p-adic properties of the Galois representations arising from modular forms.
Marta Benozzo
Hanlin Cai
Hanlin Cai is a postdoc researcher at Columbia University. He received his PhD from the University of Utah in 2024. His research focuses on commutative algebra in mixed characteristics and p-adic Hodge theory.
Raoul Hallopeau
Raoul Hallopeau received his PhD in Strasbourg in 2023. After that, he was an ATER (temporary research and teaching associate) in Strasbourg for one year. He is currently a postdoctoral researcher at IMJ-PRG, Sorbonne University, with Niziol.
He is an arithmetic algebraic geometer who works on arithmetic D-modules.
Hiroki Kato
Nikolay Konovalov
Konovalov s a Dickson Instructor at University of Chicago. He received his PhD from
University of Notre Dame in 2023 after which he took a one-year postdoc in
MPIM Bonn.
His research focuses on unstable homotopy theory, functor calculus, and
Adams spectral sequence.
Jason Kountouridis
Kountouridis obtained his PhD in 2024 from the University of Chicago, where he was a student of Matt Emerton. He am currently a postdoctoral researcher at Université Paris-Saclay, under the guidance of Kęstutis Česnavičius. His research interests lie in arithmetic geometry and number theory. In particular, he studies singularities in positive and mixed characteristic, as well as their connections to cohomological properties and arithmetic invariants of varieties.
Daniel Kriz
Zeyu Liu
Zeyu Liu received his Ph.D. from the University of California San Diego under the supervision of Kiran Kedlaya in the Spring of 2024. His research interests lie in $p$-adic geometry and $p$-adic Hodge theory, more especially in applying the stacky approach to study log geometry, prismatic crystals, and their relations with $p$-adic Galois representations. He joined the collaboration at Berkeley in July 2024
Luca Marannino
Luca Marannino obtained his PhD from the university of Duisburg-Essen in 2024, under the supervision of Massimo Bertolini. He works in algebraic number theory, with a focus on the theory of p-adic automorphic forms and p-adic L-functions.
Guglielmo Nocera
Guglielmo Nocera received his PhD in 2022 from Scuola Normale Superiore di Pisa. He is now a postdoc researcher at Institut des Hautes Ètudes Scientifiques (IHÉS) in Bures-sur-Yvette, after two years as a CNRS postdoc at Université Paris 13 funded by Yonatan Harpaz’s ERC grant Foundations of motivic real K-theory.
His research activity started in the area of derived geometry and its applications to the Geometric Langlands Program, and progressively extended to topics such as stratified homotopy theory, factorization algebras and derived Azumaya algebras. More recently, he also started working in the area of algebraic K- and L-theory from the point of view of hermitian K-theory and continuous K-theory, with special focus on assembly maps and the Farrell-Jones Conjecture.
Dat Pham
Dat Pham obtained his PhD in 2024 from the Université Paris 13 under the supervision of Bao Le Hung and Stefano Morra. His research focuses on moduli spaces of Galois representations, and their links to the p-adic Langlands program. In general, he is interested in understanding how recent developments in p-adic geometry and integral p-adic Hodge theory could shed light on more traditional problems in number theory. He will join the collaboration in October 2024 as a postdoctoral fellow at the IMJ-PRG, Sorbonne Université.
Noah Riggenbach
Riggenbach received his PhD from Indiana University Bloomington in 2021. After his PhD he did a postdoc at Northwestern University, which is also his current appointment. His research is primarily focused on algebraic K-theory, specifically using trace methods and prismatic and syntomic cohomology to study and compute algebraic K-groups of rings.