Jonathan Pila is a Reader in Mathematical Logic at the University of Oxford's Mathematical Institute, with a focus on model theory and number theory. He is affiliated with the Mathematical Logic and Number Theory research groups. BScHons (University of Melbourne, 1984) PhD (Stanford University, 1988) His research explores intersections of mathematical logic with number theory, particularly via o-minimality, addressing problems like the Andre-Oort conjecture, Zilber-Pink conjecture, and Ax-Schanuel theorems in algebraic and Diophantine geometry. Recent work includes advancements on functional transcendence, canonical heights in Shimura varieties, and uniform parameterization techniques with applications to Diophantine problems. Leverhulme Trust Research Fellowship (2008-2010) Clay Research Award (2011) LMS Senior Whitehead Prize (2011) ASL Karp Prize (2013) Elected FRS (2015) Rolf Schock Prize (2022) Frontiers of Science Award (2023)
Christian Wald is a Post-doctoral researcher at Technical University Berlin working under Professor Gabriele Steidl, focusing on generative modeling, flow matching, and stochastic processes in machine learning. His research bridges theoretical probability with practical medical imaging applications, particularly in MRI reconstruction and analysis. He completed his PhD at Humboldt University of Berlin in 2017 with a thesis on p-adic quantum groups. His academic journey transitioned from pure mathematics to interdisciplinary machine learning research, reflecting his versatile expertise. Wald's primary research explores generative models through the lens of optimal transport and flow matching, with significant contributions to Wasserstein geometry and conditional distance metrics. His work frequently integrates stochastic processes to enhance medical image reconstruction, demonstrating strong cross-disciplinary impact in both theoretical machine learning and clinical applications. Recent publications highlight innovations in sliced MMD flows, Bayesian OT methods, and uncertainty-aware medical image analysis. Analysis of his 15 most recent publications (2019-2025) reveals a consistent trajectory toward unifying geometric probability with deep learning. Key themes include flow-based generative modeling for medical time-series data, optimal transport applications in image reconstruction, and novel kernel methods for distribution matching. His work spans both foundational theory (e.g., Fisher-Rao curves) and high-impact medical applications (e.g., coronary calcium scoring). No specific scientific awards are documented in the provided text, though his publications appear in prestigious venues including ICLR, IEEE TMI, and Physics in Medicine & Biology. Wald maintains extensive collaborations with the medical imaging group at Technical University Berlin, particularly with Andreas Kofler and Gabriele Steidl. His co-authored works demonstrate consistent contributions to MRI reconstruction pipelines and segmentation frameworks, though no formal advising roles or grant leadership are indicated. Current projects focus on uncertainty quantification in active learning for medical image segmentation. He operates within Gabriele Steidl's research group at Technical University Berlin, which specializes in mathematical imaging and machine learning. The team combines expertise in optimization, probability theory, and deep learning to solve medical imaging challenges, with Wald contributing core algorithmic innovations in generative modeling and stochastic reconstruction.
Steven Neil Evans is a Professor in the Departments of Statistics and Mathematics at the University of California, Berkeley, with a joint appointment since 1999. His research spans stochastic processes, probability on algebraic structures, and applications in population biology, phylogenetics, and computational biology. BSc (Hons I & University Medal) in Statistics, University of Sydney (1983) PhD in Mathematics, University of Cambridge (1987) Research Interests: Evans works on random matrices, Lévy processes, measure-valued stochastic processes, coalescent models in biology and chemistry, phylogenetics (including invariants), biodemography, mutation-selection balance, and stochastic models in population genetics. His recent work connects probability theory with computational biology, focusing on metagenomics and transcriptional regulation. He also explores computational algebra in modeling biological systems. Articles Trends: His publications reveal a trajectory from foundational work in stochastic processes and Lévy processes to interdisciplinary applications in phylogenetics, population genetics, and computational biology. Key subfields include mutation-selection models, random tree structures, stochastic differential equations, and algebraic probability. Recent work addresses phylogenetic networks and Frechet mean sets in metric spaces. Scientific Awards: Rollo Davidson Prize (1990) Presidential Young Investigator Award (1991) Alfred P. Sloan Foundation Fellowship (1993) G. de B. Robinson Prize (1997) Miller Research Professor (2002) Fellow, American Mathematical Society (2012) Member, National Academy of Sciences (2016) Advising and Grants: Evans has advised over 30 PhD/Master's students since 1993. He has received continuous NSF grants (1988-2019), NIH funding (2016-2018), and international fellowships. His academic service includes editorial roles at major journals and organizing conferences in probability and mathematical biology.
Andrei Khrennikov is Professor of Mathematics at the Department of Mathematics, Linnaeus University, where he also serves as director of the International Center for Mathematical Modeling (ICMM) . He leads a vibrant research group focused on interdisciplinary modeling in physics, biology, cognition, and social systems. Research Interests: His work spans a vast interdisciplinary landscape, including mathematical physics, p-adic and non-Archimedean analysis, quantum foundations, quantum-like modeling of cognition and decision-making, econophysics, and biological dynamics . He is a pioneer in applying quantum probability and formalism outside quantum physics, especially in psychology and social sciences. The Växjö series of quantum theory conferences , which he organizes, is the longest-running continuous conference series on quantum foundations, fostering dialogue between theorists, experimentalists, and philosophers. His recent publications (2021–2025) show a strong focus on quantum cognition, p-adic biology, entanglement models, and social laser theory , often leveraging generalized probability and open quantum systems frameworks. Scientific Contributions: Developed quantum-like models for cognition, decision-making, and biological processes. Pioneered use of p-adic and ultrametric analysis in genetics and brain dynamics. Advanced classical random field models as alternatives to quantum interpretations. Introduced the social laser model for collective emotional amplification in societies. He is actively involved in major research projects such as QUARTZ (Quantum Information Access and Retrieval Theory) and DYNALIFE (Information, Coding, and Biological Function) . His work bridges mathematics, physics, and cognitive science, promoting a unified framework for understanding complex systems through quantum-inspired tools.
Joe Waldron is an Assistant Professor in the Department of Mathematics at Michigan State University (MSU), located in C335 Wells Hall. His research focuses on algebraic geometry, particularly the birational classification of algebraic varieties in positive and mixed characteristic, with connections to commutative algebra and arithmetic geometry. He holds a PhD from the University of Cambridge under Caucher Birkar, followed by postdoctoral positions at Princeton University and the École Polytechnique Fédérale de Lausanne (EPFL). His work is supported by NSF Grant #2401279 and a Simons Foundation Gift #850684. Waldron is actively involved in academic outreach, co-organizing the First-Generation/Low-Income (FGLI) mentorship program in MSU's mathematics department. This initiative connects FGLI students with faculty and graduate student mentors to support their academic and career goals. He also contributes to the Michigan algebraic geometry symposium and the MSU algebra seminar. His research interests include advanced topics such as Mori fibre spaces, test ideals in mixed characteristic, and the log minimal model program (LMMP) for threefolds. He has published extensively on geometrically non-reduced varieties, singularities in positive characteristics, and purely inseparable Galois theory. Waldron’s grants fund explorations into foundational algebraic geometry problems, emphasizing cross-disciplinary connections with commutative algebra. His involvement in departmental initiatives reflects his commitment to fostering inclusive academic environments and mentoring underserved student populations.
Dan Ciubotaru is Professor of Mathematics at the University of Oxford's Mathematical Institute and Diana Brown Fellow and Tutor in Pure Mathematics at Somerville College. He completed his PhD at Cornell University in 2004 and maintains active research and teaching roles within the university's Mathematical, Physical and Life Sciences Division. His educational background includes: PhD in Mathematics, Cornell University (2004) Ciubotaru specializes in representation theory of reductive Lie groups and p-adic groups, with core focus areas including the unitary dual, local Langlands correspondence, affine Hecke algebras, Coxeter groups, and Dirac operators. His work bridges algebraic structures with harmonic analysis and number theory, particularly through the study of wavefront sets and unipotent representations. This research contributes significantly to understanding automorphic forms and geometric aspects of the Langlands program. Analysis of his 2022-2025 publications reveals concentrated advancement in wavefront set theory for p-adic groups, with recurring themes in unipotent representations, Langlands parameters, and symplectic Dirac operators. His work consistently connects representation-theoretic structures with geometric and arithmetic properties, demonstrating strong collaboration networks across international mathematics communities. His scientific recognition includes: Diana Brown Fellowship (Somerville College) MPLS Teaching Award (2017) Ciubotaru has secured significant research funding as Principal Investigator for EPSRC grants including "New Horizons" EP/V046713/1 (2021-2023) and EP/N033922/1 (2016-2020). He serves on editorial boards for Documenta Mathematica (2015-2024) and Quarterly Journal of Mathematics (2017-present), and teaches advanced courses including "Representations of semisimple Lie algebras" (C2.3). While no dedicated research labs are specified, his extensive co-authorship with scholars like Mason-Brown, Okada, and Barbasch indicates active participation in global representation theory networks, particularly through collaborations on p-adic group representations and Langlands program applications.
Thomas J. Haines is a Professor in the Department of Mathematics at the University of Maryland, College Park. His academic work centers on advanced topics in number theory and algebraic geometry, with significant contributions to the Langlands program and related fields. He maintains an active research profile with recent publications spanning geometric representation theory and arithmetic geometry. Research Focus: His primary interests include Shimura varieties, flag varieties and Grassmannians for groups and loop groups, representations of p-adic groups, and the Langlands program. These areas intersect with cutting-edge developments in arithmetic geometry and automorphic forms, particularly in the context of local models and geometric Satake theory. The analysis of his recent publications reveals a strong emphasis on geometric structures underlying number-theoretic objects. Key themes include the study of singularities in local models, normality properties of Schubert varieties, and combinatorial models for representation-theoretic constructions. His work frequently bridges abstract algebraic geometry with concrete arithmetic applications. Teaching Responsibilities: Currently instructing Math 406 (Introduction to Number Theory) and Math 636 (Representation Theory) for Fall 2024. His course materials extend to graduate-level topics including commutative algebra and Hecke algebras, reflecting his research expertise. Haines collaborates extensively with leading mathematicians including Timo Richarz, Joao Lourenco, and Ulrich Goertz. His editorial work includes co-editing the 2020 Cambridge University Press volume Shimura Varieties in the London Mathematical Society Lecture Note Series. While no explicit student lists or award mentions appear in available records, his sustained publication record since the early 2000s demonstrates significant scholarly impact.
Yoichi Mieda is an Associate Professor at the Graduate School of Mathematical Sciences, University of Tokyo . His research focuses on Number Theory , particularly the Langlands correspondence , Shimura varieties , and Rapoport-Zink spaces . Mathematical Society of Japan His work connects automorphic representations and p-adic reductive groups through the geometry of Shimura varieties . Recent publications emphasize l-adic cohomology of Rapoport-Zink spaces, formal degree conjectures , and p-adic uniformization of algebraic varieties. Key collaborations include research with Naoki Imai on potentially good reduction loci of Shimura varieties and Tetsushi Ito on Lubin-Tate spaces. His contributions have advanced understanding of non-cuspidal cohomology and local Langlands correspondences .
Prof. Dr. Eugen Hellmann is a full Professor at the Mathematical Institute of the University of Münster , within the Department of Mathematics and Computer Science . He is a leading researcher in arithmetic geometry and representation theory, actively contributing to the CRC 1442 Geometry: Deformations and Rigidity and Mathematics Münster excellence cluster. His work focuses on the p-adic aspects of the Langlands program, moduli spaces of Galois representations, and p-adic Hodge theory. Research Interests: His primary research areas include Arithmetic Algebraic Geometry , the Langlands Program (especially its p-adic and categorical formulations), p-adic Hodge Theory , p-adic Galois Representations , and p-adic Automorphic Forms . His work often involves the study of (phi,Gamma)-modules, eigenvarieties, and deformation spaces, aiming to understand the deep connections between automorphic forms and Galois representations in the p-adic setting. Publication Trends: His most recent publications (2022–2023) show a strong focus on the derived and categorical aspects of the p-adic Langlands program, including the derived category of Hecke algebras and a categorical framework for the entire program. Earlier works established foundational results on the smoothness of eigenvarieties, the geometry of trianguline varieties, and the structure of moduli spaces for Galois representations. His research consistently bridges abstract algebra, number theory, and algebraic geometry. Scientific Awards: No specific awards or fellowships are mentioned in the provided texts. Advising and Grants: While a list of former research group members (e.g., Dr. Claudius Heyer, Dr. Damien Junger) is provided, their exact status as PhD advisees is not explicitly confirmed. He leads significant research projects funded by the DFG, including CRC 1442 - A01: Automorphic forms and the p-adic Langlands programme and CRC 1442 - A02: Moduli spaces of p-adic Galois representations , as well as a project within the EXC 2044 - A1: Arithmetic, geometry and representations cluster. He is also a co-author on a preprint titled "Patching and multiplicities of p-adic eigenforms," indicating active collaboration on grant-funded research. Labs and Teams: He is a central figure in the arithmetic geometry group at Münster. He organizes and leads the Research Seminar "p-adic arithmetic" and the Mittagsseminar "Arithmetic" , which serve as key forums for his research group and collaborators to present and discuss current work. His research team has included several postdoctoral researchers and doctoral students, contributing to a vibrant research environment focused on cutting-edge problems in number theory.
Grigory Mikhalkin is a Full Professor at the University of Geneva, where he has been a faculty member since 2008. He is considered one of the founders of Tropical Geometry, a domain of algebraic geometry governed by (max,+)-calculus where geometric objects degenerate to their piecewise-linear limits. He leads the "ALGEBRA AND GEOMETRY" research group at the university. Mikhalkin studied at Leningrad and Michigan State University under the supervision of Oleg Viro and Selman Akbulut. After receiving his PhD in 1993, he completed postdoctoral training at Princeton, Bonn, Toronto, Berkeley, and Harvard (1993-2000). He served as associate and then full Professor at the University of Utah before moving to the University of Toronto, eventually joining the University of Geneva in 2008. Mikhalkin's primary research areas are Geometry and Topology, with a particular focus on Tropical Geometry. His work bridges algebraic geometry with combinatorial structures, exploring how complex geometric objects can be understood through their piecewise-linear tropical counterparts. This approach has proven fruitful in solving problems in enumerative geometry and has connections to mathematical physics through the study of sandpile models and self-organized criticality. His research group actively explores the connections between tropical geometry, symplectic geometry, and real algebraic geometry, organizing regular seminars including the "Séminaire Fables Géométriques." The recent publications of Professor Mikhalkin demonstrate a strong focus on the intersection of tropical geometry with sandpile models and self-organized criticality. His work has evolved to examine tropical aspects of number theory, lattice sums, and even applications to economics through auction theory. A significant portion of his recent research explores the patterns and structures that emerge in sandpile models across various lattices and dimensions, connecting discrete mathematics with continuum limits through tropical techniques. Prize of the St. Petersburg Mathematical Society (1999) Silver Medal of the Mexican Mathematical Society (2011) Canada Research Chair (2004-2009) Friedrich-Wilhelm-Bessel Research Award of the Alexander-von-Humboldt Foundation (2007-2008) European Research Council Advanced Grant (2010-2015) Chair of Fondation Sciences Mathématiques de Paris (2013-2015) Mikhalkin has successfully advised several PhD students to completion, including Kristin Shaw (2011), Lionel Lang (2014), Nikita Kalinin (2015), Mikhail Shkolnikov (2017), and Johannes Josi (2018). His research has been supported by prestigious grants including the ERC Advanced Grant and the Canada Research Chair. He presented his work at the Bourbaki seminar in 2003 and was selected as a Geometry speaker at the International Congress of Mathematicians in 2006, highlighting the significance of his contributions to the field. Professor Mikhalkin leads the "ALGEBRA AND GEOMETRY" research group at the University of Geneva, which includes current members Thomas Blomme, Francesca Carocci, Aloïs Demory, Gurvan Mével, and Antoine Toussaint. The group has a strong track record of postdoctoral fellows and alumni, including notable researchers such as Ivan Bazhov, Johan Bjorklund, Rémi Crétois, and others. They organize several seminars including the "Séminaire Fables Géométriques" and have historical connections to the Battelle Seminar and Tropical working group Seminar.
Beren Sanders is an Associate Professor in the Mathematics Department at UC Santa Cruz. His research explores triangulated categories with applications in tensor triangular geometry, stable homotopy theory, and representation theory. Sanders completed his PhD at UCLA under Paul Balmer and held postdoctoral positions at EPFL and the University of Copenhagen before joining UCSC. His recent publications investigate homological stratification, tensor triangular support theories, and equivariant homotopy structures. Teaching includes advanced algebra (MATH 200, 202), linear algebra (MATH 117), and specialized topics in homological algebra (MATH 239, 281).
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).
Jennifer Johnson-Leung serves as Professor in the Department of Mathematics and Statistical Science within the College of Science at the University of Idaho, with additional affiliation as Participating Faculty at the Institute for Modeling Collaboration and Innovation under the Office of Research and Economic Development. Her academic credentials include: PhD in Mathematics from the California Institute of Technology (2005) BS in Chemistry and Mathematics from the College of William and Mary (1998) Professor Johnson-Leung maintains a dual research focus bridging pure mathematics and applied epidemiology. In theoretical mathematics, she investigates Siegel modular forms, paramodular forms, Hecke algebras, and representation theory, advancing understanding of automorphic forms and their connections to algebraic geometry. Her applied work develops spatial statistical models for sociodemographic risk assessment in public health crises, particularly during the COVID-19 pandemic, utilizing techniques like elastic net regression to analyze vaccination behavior and mortality patterns. Analysis of her recent publications reveals equal emphasis on deep theoretical number theory problems and urgent public health applications. The mathematical works explore structural properties of modular forms and representation theory, while epidemiological studies dissect complex interactions between political ideology, social vulnerability, and pandemic outcomes across U.S. populations. No specific scientific awards were documented in the provided materials. Information regarding graduate student advising and research grant funding remains unspecified in the available documentation. No dedicated research laboratories or specialized collaborative teams were mentioned in the source materials.
Moritz Kerz is a Professor of Mathematics at the University of Regensburg's Faculty of Mathematics. His research spans arithmetic geometry and algebraic K-theory, with significant contributions to class field theory and cohomological methods. He leads a research group including postdoctoral scholars and doctoral candidates. Research Focus: Kerz's investigations center on: Non-archimedean K-theory and its applications to geometric problems Arithmetic invariants in positive characteristic Higher-dimensional class field theory constructions Monodromy representations and density theorems Publication Trends: Recent work demonstrates a consistent focus on K-theoretic invariants in arithmetic contexts, particularly through: Innovative applications to rigid analytic geometry Interactions between étale cohomology and representation theory Non-commutative generalizations of class field theory Awards: Minkowski Medal (2020) K-theory Prize (2014) Carus Medal (2011) Heinz Maier-Leibnitz Prize (2011) Cultural Prize of Bavaria (2009) Research Group: Current team members include Carolyn Echter, Lukas Krinner, Andrea Panontin, Yanshuai Qin, Yuenian Zhou, and Paul Ziegler, with research spanning arithmetic geometry and K-theory applications.
Naoki Imai is an Associate Professor at the Graduate School of Mathematical Sciences, The University of Tokyo, specializing in Arithmetic Geometry, with a focus on Galois representations and moduli spaces. His research explores the intersection of number theory and algebraic geometry, particularly through applications to p-adic cohomology and Shimura varieties. Education: PhD in Mathematical Sciences, The University of Tokyo (2010) Master's in Mathematical Sciences, The University of Tokyo (2009) BSc in Mathematics, The University of Tokyo (2007) Research Interests: Galois representations Moduli spaces of arithmetic objects Geometrization of local Langlands correspondence Selected Awards: MSJ Takebe Katahiro Prize for Encouragement of Young Researchers (2011) Students: Katsuyuki Bando (2025) Joseph Muller (2023) Yuki Yamamoto (2022) Teppei Takamatsu (2022) His recent publications emphasize prismatic cohomology, moduli of p-divisible groups, and automorphic forms, with collaborations spanning institutions like Kyoto University, MIT, and UC Berkeley.
