Find Academic Supervisors

Emmanuel KowalskiView profile

Professor

• Automorphic forms
• L-functions
• Analytic Number Theory
• +5 more

Emmanuel Kowalski is a Professor of Mathematics at ETH Zurich , where he has been since 2008. Previously, he held professorships at Université Bordeaux I (2000–2007) and was a Veblen Research Instructor at Princeton University and the Institute for Advanced Study (1998–2000). His research focuses on analytic number theory, automorphic forms, and algebraic geometry. Education: École Normale Supérieure de Lyon (1989–1992); PhD in Mathematics from Rutgers University (1998). Research Interests include automorphic forms, L-functions, sieve methods, exponential sums, and probabilistic number theory. His work often bridges number theory with algebraic geometry and harmonic analysis. He has authored over 70 research papers and 6 books, including the influential Analytic Number Theory (2004) with Henryk Iwaniec. Scientific Awards and Invitations include the von Neumann Visiting Fellowship at IAS Princeton (2009), membership in the Board of the Institut des Hautes Études Scientifiques (2016–present), and four invitations to lecture at the prestigious Bourbaki Seminar. He has also delivered key lectures at the Riemann International School of Mathematics and conferences honoring major mathematicians. Grants and Leadership He has organized numerous conferences and research programs, including the 2019 Arithmetic, geometry and modular forms conference at FIM and the 2022 goMath program on Women in Mathematics. He co-leads projects funded by the Swiss National Science Foundation (SNF), such as Trace functions and arithmetic Fourier transforms .

Pierre ColmezView profile

Researcher

• Arithmetic geometry
• Galois representations
• p-adic Hodge theory
• +1 more

Pierre Colmez is a French mathematician affiliated with the École Polytechnique (1993-2010) and the National Center for Scientific Research (CNRS) at the Institut de Mathématiques de Jussieu since 2010. His academic journey includes postdoctoral positions at the Institut Joseph Fourier (Grenoble) and the Max Planck Institute for Mathematics (Bonn). Ph.D. in 1988 (Grenoble) under Jean-Marc Fontaine and John Coates École Polytechnique: Professor (2006-2010), Teaching Professor (1993-2005) Colmez’s research lies at the intersection of arithmetic geometry , Galois representations , p-adic Hodge theory , and the Langlands program . His work explores connections between automorphic forms, p-adic analysis, and cohomological structures in number theory. His most recent publications focus on p-adic cohomology, Drinfeld towers, and syntomic complexes, reflecting his expertise in advanced topics of nonarchimedean geometry and Galois cohomology . Collaborations with Gabriel Dospinescu and Wiesława Nizioł highlight his contributions to modern arithmetic geometry. Prix Léonid Frank (2016) Aisenstadt Chair (2015) Prix Fermat (2005) Prix Gabrielle Sand et Guido Triossi (1999) Colmez has held editorial roles at Astérisque (1999-2004), directed the SMF Mathematical Documents collection (2001-2016), and served on editorial boards for Annales de l'ENS and Publications de l'IHES . His academic network includes collaborations with Laurent Berger, Christophe Breuil, and Jean-Pierre Serre.

Elon LindenstraussView profile

Professor

• Ergodic theory
• Topological dynamics
• Flows on homogeneous spaces
• +6 more

Elon Lindenstrauss is a Professor at Hebrew University since 2008 and previously held faculty positions at Princeton University (2004-2010) and Stanford University (2001-2003). He is a member of the Academia Europaea (elected 2012) and has been affiliated with prestigious institutions including the Institute for Advanced Study (Princeton) and Courant Institute (NYU). Fields Medal recipient (2010) ERC Advanced Grant awardee (2011) Recipient of multiple fellowships including Clay Mathematics Institute (2003-2005) and Clore Fellowship (1998-1999) His research focuses span multiple mathematical disciplines: Ergodic theory and dynamical systems Homogeneous spaces and equidistribution Connections between number theory and quantum chaos Additive combinatorics and random walks As a leading mathematician, he has organized major conferences, including: 2013-14 Semester program at Hebrew University 2010 Oberwolfach workshop on Homogeneous Dynamics 2007 Clay Summer School on Homogeneous Flows

Michael RapoportView profile

Professor

• Mathematics
• Algebraic Geometry
• Number Theory
• +5 more

Michael Rapoport is a Professor at the University of Bonn, with a distinguished academic career spanning multiple institutions including the University of Cologne (1996-2003), University of Wuppertal (1989-1996), and the University of Heidelberg (1982-1986). He is a member of the Academy of Europe (elected 2012) and has held significant roles in mathematical research communities, such as serving on the Scientific Committees of the MPI Bonn (1988-2008) and IHES Paris (2001-2005). Current Position: Professor at University of Bonn Previous Positions: University of Cologne, Wuppertal, Bonn, Heidelberg Academic Affiliation: Mathematics Section Rapoport's research focuses on advanced mathematical structures in Algebraic Geometry and Number Theory. His work explores Shimura varieties, moduli spaces of abelian varieties, and locally symmetric algebraic varieties, with a particular emphasis on their geometric and arithmetic properties. Additionally, he has contributed to the study of p-divisible groups, affine flag varieties, and G-bundles on curves, shaping theoretical frameworks in these domains. His scholarly contributions include influential publications such as "Smooth compactifications of locally symmetric varieties" (2010) and "Period spaces for p-divisible groups" (1996). These works span topics like modular forms, special cycles, and coefficient spaces, reflecting a deep integration of geometry and number theory. Scientific Awards Heinz-Hopf-Preis (2011) Prix Gay-Lussac/Humboldt (2000) Gottfried-Wilhelm-Leibniz-Preis (1992) Akademiestipendium of the VW-foundation (1991) Rapoport has also played a pivotal role in academic governance, serving on editorial boards and selection committees. He was an Associate Editor of the Duke Mathematical Journal (1995-2000) and a member of the Scientific Committee at the Max Planck Institute for Mathematics in Bonn for two decades (1988-2008).

Emmanuel BreuillardView profile

Professor

• Combinatorics
• Geometric Group Theory
• Ergodic Theory
• +1 more

Emmanuel Breuillard is a Professor of Pure Mathematics at the University of Oxford. Previously, he held positions as Sadleirian Professor at the University of Cambridge (2017-2021), Professor at Université Paris-Sud (2008-2017), and Associate Hadamard Professor at École Polytechnique (2006-2008). His academic journey includes a PhD from Université Paris-Sud and Yale University, supervised by Frédéric Paulin and Gregory Margulis, and a Master in Mathematics from Cambridge. PhD: Université Paris-Sud (2004), supervised by Frédéric Paulin; Yale University, supervised by Gregory Margulis Master: University of Cambridge (2000) Ecole Normale Superieure (1997-1999) His research spans Combinatorics , Geometric Group Theory , Ergodic Theory , and Number Theory , focusing on approximate groups, expansion in finite simple groups, and Diophantine geometry. His recent work analyzes Elekes-Szabo problems in projective geometries. He has authored 50+ publications in prestigious journals, addressing topics like random polynomials, C*-simplicity, and uniform independence in linear groups. Fellow of the Royal Society (2024) ERC Consolidator Grant (2014-2019) Prix Charles-Louis de Freycinet (2013) European Mathematical Society Prize (2012) ERC Starting Grant (2008-2013) Cours Péccot, Collège de France (2006)

• Several Complex Variables
• CR Geometry
• Differential Geometry
• +3 more

Dr. Bernhard Lamel is a Professor at the Department of Mathematics , Faculty of Mathematics , University of Vienna . He specializes in Several Complex Variables , CR Geometry , and Differential Geometry , with a focus on CR maps, hypersurfaces, and geometric analysis. His work spans formal and analytic equivalence, jet determination, and convergence of normal forms. Key research areas: CR Geometry Differential Geometry Several Complex Variables Partial Differential Equations in CR Context Recent publications (2024–2018) analyze degenerate CR maps Borel mappings for compact sets regularity in CR vector bundles finite jet determination problems equivalence theory for infinite type hypersurfaces

• Diophantine Approximation
• Geometry of Numbers
• Parametric Approximation
• +4 more

Leonhard Summerer is an Associate Professor at the Faculty of Mathematics, Department of Mathematics . His research primarily focuses on Diophantine Approximation , Geometry of Numbers , and Parametric Approximation . His work explores the Approximation Property in parametric settings, Lattice Theory , and Linear Dependence in number theory. Recent publications include studies on Jarník’s identity, simultaneous approximation to multiple reals, and geometric interpretations of number-theoretic problems. He has authored numerous peer-reviewed articles and contributed chapters to educational books such as 77-mal Mathematik für Zwischendurch , emphasizing mathematical outreach and pedagogical innovation . Active in academic discourse, he has delivered talks on topics like Packings and Tilings in Z and Simultane Approximation m reeller Zahlen since 2006.

• Mathematics
• Representation Theory
• Number Theory
• +3 more

Dr. Alberto Mínguez Espallargas is a University Professor at the Faculty of Mathematics , affiliated with the Institute of Mathematics . His research focuses on representation theory of reductive groups over local fields, automorphic forms, and number theory, particularly exploring connections between geometric methods and categorification in p-adic groups. Key research areas: Representation Theory, Automorphic Forms, p-adic Groups Recent work: Co-tempered A-packets, congruences mod ℓ, geometric irreducibility Scientific Activities: Regular lecturer on advanced mathematical topics, active in international collaborations, and peer-reviewed journal contributor.

Müller WernerView profile

Professor

• Geometric analysis
• Automorphic forms
• Harmonic analysis
• +3 more

Werner Müller is a Professor of Mathematics at the University of Bonn since 1993, holding positions at prestigious institutions like the Max-Planck-Institut für Mathematik and the Institute for Advanced Study. His research focuses on geometric analysis, automorphic forms, and harmonic analysis on locally symmetric spaces. He has made significant contributions to spectral theory and arithmetic geometry. Education: Diplom (1974), Ph.D. (1977), and Habilitation (1983) from Humboldt University Berlin. His academic career includes roles as a Professor at the Academy of Sciences of the GDR and collaborative research leadership in German-Israeli initiatives and Excellence clusters. Awards include membership in the German National Academy of Sciences (Leopoldina, 2003), Berlin-Brandenburg Academy (1993), and the Max-Planck-Forschungspreis (1991). His work spans spectral asymptotics, trace formulas, and automorphic forms, with key contributions to analytic torsion and L²-invariants. He has organized major conferences, served on editorial boards of journals like Inventiones Mathematicae and Analysis & PDE, and participated in high-impact research programs such as the Excellence cluster in Mathematics (2012–present).

Don ZagierView profile

Professor

• Number theory
• Automorphic forms
• Arithmetic geometry
• +1 more

Don Zagier is a renowned mathematician at the Hausdorff Center for Mathematics (HCM) , University of Bonn, and has been Director of the Max Planck Institute for Mathematics in Bonn since 1995. He also holds a Distinguished Staff Associate position at ICTP since 2014. Education: D.Phil., Oxford University (1972) Habilitation, University of Bonn (1975) Research Focus: Number theory Modular forms and special functions Interdisciplinary mathematics Honours: 1984 - Carus Prize 1987 - Frank Nelson Cole Prize 1996 - Prix Elie Cartan, Académie des Sciences 2000 - Chauvenet Prize (Mathematical Association of America) 2001 - Karl Georg Christian von Staudt Prize

Marko TadicView profile

Professor

• Representation Theory
• Automorphic Forms
• p-adic Groups
• +4 more

Marko Tadić is a Professor of Mathematics at the University of Zagreb since 1987, specializing in representation theory of reductive groups over p-adic fields and their connections to automorphic forms via the Langlands program. He is a Full Member of the Croatian Academy of Sciences and Arts (2000–) and a Member of Academia Europaea (2000–). His research interests include harmonic analysis, number theory, and the interplay between representation theory and automorphic forms. Education: B.S. (1976), M.S. (1979), Ph.D. (1980) in Mathematics from the University of Zagreb. Visiting Positions: Held visiting roles at institutions worldwide, including the University of Chicago, Université Paris VII, Max-Planck-Institute, University of Utah, and the Institute of Mathematical Sciences in Singapore. Awards: Recipient of the prestigious Rudjer Bošković Prize (1989), Croatia's highest annual prize for natural sciences. Leadership Roles: Served as Head of the Division for Algebra and Logic (multiple terms), Director of Graduate Studies in Mathematics (1994–2000), and Editor-in-Chief of Glasnik Matematički (1998–2001). Research Focus: Tadić’s work centers on the structure of unitary representations, reducibility of parabolic inductions, and the Langlands conjectures. Key contributions include foundational studies on p-adic classical groups and their unitarizability.

Harris MichaelView profile

Professor

• Arithmetic Geometry
• Langlands Program
• Automorphic Forms and Representations
• +4 more

Harris Michael is a Professor at Columbia University's Department of Mathematics, with prior appointments at Université Paris 7 (1994–2014), Brandeis University (1989–1994), and other institutions. He holds a B.A. from Princeton University (1973), M.A. and Ph.D. from Harvard University (1976, 1977, advised by Barry Mazur). His research focuses on arithmetic geometry, the Langlands program, automorphic forms, Shimura varieties, and Galois representations. Notable awards include the Clay Research Award (2007) and membership in the American Academy of Arts and Sciences (2019). He has been an invited speaker at major international congresses, including the 2014 Seoul ICM and the 2002 Beijing ICM. His work has also been supported by prestigious grants, such as the ERC Advanced Grant AAMOT (2012–2017). Education: B.A. Mathematics, Princeton University (1973); M.A. Mathematics, Harvard University (1976); Ph.D. Mathematics, Harvard University (1977, advisor: Barry Mazur). Affiliations: Columbia University (2013–present), Université Paris 7 (1994–2014), Brandeis University (1989–1994). Key Achievements: Tackling fundamental problems in number theory and algebraic geometry, with contributions to the Langlands program and geometric representation theory. His research integrates advanced techniques from algebraic geometry, number theory, and automorphic forms to address conjectures central to modern mathematics. He has also held visiting positions at the Institut des Hautes Études Scientifiques (France), Oxford University, Harvard University, and the Institute for Advanced Study (multiple visits).

Emmanuel UllmoView profile

Professor

• Number Theory
• Transcendence Theory
• Arakelov Geometry
• +2 more

Emmanuel Ullmo is a Full Professor at the University of Paris-Sud and has served as Director of the Institut des Hautes Études Scientifiques (IHES) since 2013. His career spans prestigious positions, including Assistant Professor at Princeton University and administrative roles in academic leadership. PhD in Mathematics, Université Paris-Sud (1993) Habilitation, Université Paris-Sud (1997) Student, École Normale Supérieure de Cachan (1985–1989) Ullmo’s research lies at the intersection of number theory, algebraic geometry, and ergodic theory. He has made significant contributions to the study of Shimura varieties, equidistribution of Hecke points, and the André-Oort conjecture, often leveraging tools from automorphic forms and transcendence theory. His work explores connections between arithmetic geometry and dynamical systems, particularly through equidistribution theorems and applications of ergodic theory to Diophantine problems. Key themes include height theory, modular curves, and special subvarieties. Scientific Awards and Grants Prix Elie Cartan (2006) Institut Universitaire de France Member (2003–2008) NSF Grant (1999–2001) Invited Speaker, ICM (2002) Ullmo has advised five PhD students, including Zyang Gao and Martin Orr, and played leadership roles in organizing mathematics conferences and editorial boards. He served as Managing Editor of Inventiones Mathematicae and chaired the Erasmus Mundus Network ALGANT node at Paris-Sud.

Werner MüllerView profile

Professor

• Geometric Analysis
• Automorphic Forms
• Harmonic Analysis on Locally Symmetric Spaces
• +3 more

Werner Müller is a Professor of Mathematics at the University of Bonn , holding the position since 1993. His research spans geometric analysis, automorphic forms, and harmonic analysis on locally symmetric spaces. Habilitation (Dr.sc), Humboldt-University Berlin (1983) Ph.D. (Dr.rer.nat.), Humboldt-University Berlin (1977) Diplom, Humboldt-University Berlin (1974) His work focuses on spectral theory, differential geometry, and automorphic forms, with significant contributions to mathematical models involving singular phenomena and scaling. He has participated in numerous international conferences and co-organized events at institutions like the Simons Foundation and the Erwin Schrödinger Institute. Honors and Memberships : Elected to German National Academy of Sciences 'Leopoldina' (2003) Recipient of Max-Planck-Forschungspreis (1991) Clay Senior Scholarship awardee (2008) Active in collaborative research programs including the Excellence Cluster in Mathematics (2012–present)

• Number Theory
• Automorphic Forms
• Cohomology of Arithmetic Groups
• +4 more

Joachim Mahnkopf is an Associate Professor at the University of Vienna, affiliated with the Faculty of Mathematics and the Department of Mathematics. His career spans over two decades, with a focus on number theory, automorphic forms, and cohomology of arithmetic groups. His research explores the interplay between Automorphic L-functions p-adic analysis Representation theory of Chevalley groups Cohomology of arithmetic groups Publications highlight trends in slope subspaces of automorphic forms, truncation theory for Chevalley groups, and p-adic families of modular forms . These works often intersect with trace formulae, homology, and reductive group structures. Key contributions include studies on Eisenstein cohomology and special values of L-functions. His work has been published in journals such as Pacific Journal of Mathematics, Journal of Number Theory, and Compositio Mathematica.