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Franziska JahnkeView profile

Professor

• Model Theory
• Set Theory
• Algebra
• +3 more

Prof. Dr. Franziska Jahnke is a Professor in the Faculty of Mathematics and Computer Science at the University of Münster, affiliated with the Institute for Mathematical Logic and Foundational Research. She specializes in model theory and its applications to algebra, particularly valued fields, set theory, and arithmetic definability. Her research bridges foundational mathematics and algebraic structures, with a focus on henselian valuations, NIP fields, and combinatorial aspects of valued fields. Education: Diplom in Mathematics from Albert-Ludwigs-Universität Freiburg (2009), DPhil in Mathematics from the University of Oxford (2013). Academic roles include Junior Professor at Münster (2017–2024), and a visiting position at the University of Amsterdam (2023–2024). Research Interests: Model theory of fields, arithmetic definability of valuations, perfectoid fields, and connections to infinite combinatorics. Key contributions include work on Ax-Kochen-Ershov principles, NIP fields, and classification conjectures in strongly dependent fields. Recent Activities: Organized workshops on non-archimedean geometry and model theory of valued fields. Recipient of the Teaching Prize 2022 and a fellow of the Daimler und Benz Stiftung. Deputy Equal Opportunity Representative in her department. Supervision: Advised multiple PhD students (e.g., Blaise Boissonneau, Simone Ramello) and postdocs. Taught courses on algebra, logic, and model theory, including lectures on valued fields and stability theory.

• Algebraic Number Theory
• Elliptic Curves
• Arithmetic Geometry
• +8 more

Professor Tim Dokchitser is the Heilbronn Chair in Algebraic/Arithmetic Geometry at the School of Mathematics, University of Bristol. His research focuses on algebraic number theory, elliptic curves, arithmetic of L-functions, Galois theory, and computational algebra. He actively explores connections between number theory and finite groups, using computer experiments to advance conjectures like the Birch-Swinnerton-Dyer Conjecture. BSc, Lund University MSc, Lund University PhD, University of Utrecht MA, University of Cambridge His research spans hyperelliptic curves over local fields, Weil representations, tame Galois torsion, and finite group character formulas. Recent work includes computational approaches to Frobenius traces and étale cohomology in hyperelliptic curve quotients. Articles (2023-2025) highlight advancements in arithmetic geometry, zero-knowledge cryptography, and Galois representation theory. Scientific awards include a University Research Fellowship (2011-2014) for elliptic curves and L-functions. He leads projects like the 2015-2018 study on hyperelliptic curves and contributes to collaborations across arithmetic geometry. His computational methods have inspired conjectures in motivic cohomology and modular deformations.

June HuhView profile

Professor

• Algebraic Geometry
• Combinatorics
• Matroid Theory
• +5 more

June Huh is a Mathematics Professor at Princeton University's Department of Mathematics. His research focuses on the interplay between algebraic geometry, combinatorics, and matroid theory, with notable contributions to Hodge theory, tropical geometry, and log-concavity phenomena. He is actively involved in collaborative projects such as the FRG initiative on matroids, graphs, and algebraic geometry. Key research interests include matroid polytopes, Chow rings, Lagrangian geometry, and combinatorial applications of Hodge-Riemann relations. His work bridges discrete and continuous mathematics, with implications for enumerative geometry and geometric combinatorics. Recent publications explore topics like volume polynomials, Bergman fans, and singular Hodge theory in combinatorial geometries. He has received funding for interdisciplinary research through grants like the FRG Collaborative Research program. His contributions highlight innovative methods in geometric and algebraic combinatorics.

• Number Theory
• Representation Theory
• Group Theory
• +3 more

Uri Onn is a Professor at the Mathematical Sciences Institute of the Australian National University (ANU). His research focuses on advanced algebraic structures, including zeta functions, arithmetic groups, and representation theory. He contributes to the understanding of nilpotent groups, valuation rings, and Lie algebras through rigorous mathematical frameworks. Research Interests: Dr. Onn’s work spans number theory, group theory, and algebraic geometry, with a particular emphasis on zeta functions, arithmetic groups, and representation growth. His studies explore the interplay between algebraic structures and their applications in modern mathematics. Key Research Trends: His articles address topics like zeta functions in nilpotent groups, representation theory over finite rings, and the behavior of arithmetic groups under base change. These contributions advance foundational knowledge in abstract algebra and number theory. Grants and Projects: He leads projects such as the Geometry of Character Varieties (2025–2028) and Representations of Arithmetic Groups (2017–2023), focusing on algebraic and geometric representations.

Bianca VirayView profile

Professor

• Arithmetic Geometry
• Number Theory
• Algebraic Geometry
• +3 more

Bianca Viray is a Professor in the Department of Mathematics at the University of Washington. Her research focuses on arithmetic geometry, number theory, and algebraic geometry, particularly exploring rational points on varieties and Brauer-Manin obstructions. She actively organizes the UW Number Theory Seminar and collaborates on projects addressing the distribution of mathematical potential and inclusive education. Viray's work bridges theoretical advancements with pedagogical contributions, including workshops on effective mathematical communication and resources for academic success. Her research interests emphasize the intersection of arithmetic and algebraic geometry, with a focus on quadratic points, conic bundles, and the persistence of obstructions in rationality questions. She has contributed to foundational studies on Brauer groups, del Pezzo surfaces, and the arithmetic of curves, often involving collaborations on computational algebraic geometry tools like Magma and Sage. Viray's articles span topics like quartic del Pezzo surfaces, parameterized points on curves, and number fields generated by linear systems. She advocates for equitable mathematics education through initiatives rooted in Federico Ardila’s axioms, emphasizing dignity and accessibility in academic environments.

Christopher ManonView profile

Associate Professor

• Algebraic Geometry
• Tropical Geometry
• Combinatorial Geometry
• +5 more

Christopher Manon is an Associate Professor in the Department of Mathematics at the University of Kentucky, within the College of Arts & Sciences. His research focuses on algebraic geometry, tropical geometry, and their connections to combinatorics, representation theory, and phylogenetics. He explores topics such as toric varieties, vector bundles, Bruhat-Tits buildings, and geometric compactifications. Manon's work frequently intersects with combinatorial structures like matroids, polytopes, and phylogenetic networks. His studies on toric vector bundles and tropical geometry have advanced understanding of degenerations and moduli spaces. He has contributed to the theory of Fano varieties and Gorenstein polytopes, linking algebraic geometry with lattice theory and mirror symmetry. His recent research trends emphasize geometric families of degenerations via polytope mutations, invariants in phylogenetic models, and equivariant cohomology in arithmetic contexts. Collaborative projects include work on frame theory and conformal blocks in representation theory. Manon's research has been supported through collaborative grants, including projects on combinatorial buildings and tropical geometry. His work bridges pure mathematics disciplines such as algebraic geometry, combinatorics, and representation theory, often with applications to geometric modeling and theoretical biology.

Yu YangView profile

Lecturer

• Algebraic Geometry
• Arithmetic Geometry
• Anabelian Geometry
• +3 more

Yu Yang is a Project Lecturer at the Research Institute for Mathematical Sciences (RIMS) , Kyoto University , Japan. He works in algebraic and arithmetic geometry , with a focus on curves and their moduli spaces in positive characteristic , using fundamental groups to study anabelian phenomena. His research is supported by JSPS KAKENHI grants. Education : PhD from RIMS, Kyoto University (2017), supervised by Shinichi Mochizuki . Research Interests : Yang's work centers on anabelian geometry in positive characteristic, exploring the interplay between topological/combinatorial structures of curves and their fundamental groups. He developed a theory of moduli spaces of fundamental groups to unify anabelian phenomena, inspired by Tamagawa's finiteness theorem. His methods combine algebraic geometry, group theory, and moduli space analysis. Article Trends : His publications and preprints emphasize moduli spaces of fundamental groups, tame/semi-stable reductions, Hasse-Witt invariants, and combinatorial approaches to anabelian geometry. Collaborations include work with Zhi Hu and Runhong Zong on moduli spaces and topology. Grants : Funded by JSPS KAKENHI grants 16J08847 , 20K14283 , and 24K16896 (since April 2024). Conferences : Co-organized the Fundamental groups: Geometry and Arithmetic workshop (2019) and multiple Kyoto+ Workshops with international participants. Teaching : Lecturer roles at Doshisha University (Algebraic Structures), Kyoto Institute of Technology (Linear Algebra), and Sennan University (Mathematical Foundations).

Louis EsserView profile

Lecturer

• Algebraic Geometry
• Equivariant Birational Geometry
• Optimization in Algebraic Geometry

Louis Esser is an instructor in mathematics at Princeton University. He received his PhD from UCLA in 2023 under the supervision of Burt Totaro. Esser co-organizes the Princeton Algebraic Geometry Seminar and the Princeton Algebraic Geometry Preprint Seminar. His research focuses on algebraic geometry, specifically equivariant birational geometry and optimization problems. Esser teaches undergraduate mathematics courses including Algebra I (MAT345), Honors Linear Algebra (MAT217), Multivariable Calculus (MAT201), and Linear Algebra with Applications (MAT202). His publications primarily explore birational geometry, Fano varieties, hypersurfaces, automorphism groups, and singularities. Recent work shows strong emphasis on classification problems in algebraic geometry, minimal model program applications, and geometric structures with group symmetries. Collaborative projects frequently involve topics at the intersection of algebraic geometry, topology, and invariant theory.

John BergdallView profile

Assistant Professor

• Algebra
• Number Theory
• p-adic Analysis
• +3 more

John Bergdall is an Assistant Professor in the Department of Mathematical Sciences at the University of Arkansas (joined in 2022), affiliated with the Fulbright College of Arts & Sciences. His research focuses on p-adic automorphic forms and Galois representations, supported by NSF grants (DMS-2302284 and DMS-2401152) and a Simons Foundation award (713782). He holds a Ph.D. from Brandeis University (2013, advisor: Joël Bellaïche) and a B.S. from the University of Minnesota (2008). Education: Ph.D. in Mathematics (2008-2013, Brandeis University); B.S. in Mathematics (2003-2008, University of Minnesota). Research Interests: Algebra, Number Theory, p-adic Analysis, Modular Forms, and Galois Representations. His work explores p-adic families of automorphic forms, eigenvarieties, and L-invariants, with recent contributions to resolving gaps in the ghost conjecture and analyzing reductions of Galois representations. Awards/Grants: NSF DMS-2302284 (2023-), NSF DMS-2401152 (2024), Simons Foundation 713782 (2020-), Robert C. Connor Faculty Fellowship (2023-24). Teaching: Courses include Abstract Algebra, Number Theory, and Elliptic Curves at the University of Arkansas and Bryn Mawr College. He emphasizes student-centered learning and has developed innovative materials for cryptography and mathematics education. Professional Activities: Organized conferences on L-functions and eigenvarieties, served on panels addressing pandemic impacts on academia, and participated in visiting researcher programs at Max-Planck-Institut and IHÉS.

Matthias AschenbrennerView profile

Professor

• Model Theory
• Differential Algebra
• Asymptotics
• +3 more

Matthias Aschenbrenner is a Professor at the Faculty of Mathematics, Department of Mathematics, with expertise in model theory, differential algebra, and asymptotic analysis. His research spans valued fields, transseries, and low-dimensional topology. PhD in Mathematics from the University of Illinois at Urbana-Champaign His work focuses on the intersection of mathematical logic, differential equations, and algebraic structures. Key contributions include foundational studies on transseries, Hardy fields, and applications to topology. Recent publications address analytic Nullstellensätze, distality in valued fields, and approximation theorems in o-minimal contexts. He serves as a peer reviewer and collaborates on geometric properties of transcendental functions and valued differential fields. Scientific awards include Fellow of the American Mathematical Society (2012) and the Karp Prize (2018). His research is funded by grants on model theory and geometric transcendental functions.

Henriette JagerView profile

Adjunct Associate Professor

• Theoretical Ecology
• Conservation Biology
• Climate Change Impacts
• +4 more

Henriette Jager is an Adjunct Associate Professor in the Ecology & Evolutionary Biology Department at the University of Tennessee, Knoxville, following her retirement from the Environmental Sciences Division at Oak Ridge National Laboratory (ORNL) in July 2024. Her research focuses on integrating ecosystem services and trade-offs between renewable energy, water quality, and biodiversity. She leads studies on climate change impacts on freshwater biodiversity, particularly in the Southeastern U.S., and hydropower sustainability. Research Interests: Theoretical Ecology, Conservation Biology, Climate Change, Hydropower Sustainability, and Renewable Energy Alternatives. Her work bridges ecological modeling with policy-relevant solutions for energy and environmental systems. Key Contributions: Jager’s research includes evaluating climate-resilient biomass plantings, quantifying carbon emissions from hydropower reservoirs, and designing hydropower flows that balance energy needs and environmental protection. She has published extensively on biodiversity impacts of energy infrastructure and land-use changes. Future Work: Transitioning to academia, Jager aims to expand her research on freshwater ecosystems under climate change, focusing on synergies between energy systems and conservation.

Hadi SalmasianView profile

Professor

• Lie Groups
• Representation Theory
• Algebra
• +4 more

Hadi Salmasian is a Full Professor in the Department of Mathematics and Statistics at the University of Ottawa, Faculty of Science. He holds a PhD from Yale University and specializes in Lie groups, Lie algebra representations, and related areas of algebra and mathematical physics. Education: PhD in Mathematics, Yale University Research Interests: Dr. Salmasian's research focuses on representation theory of Lie groups and Lie superalgebras, quantum groups, invariant theory, and applications to mathematical physics. His work explores topics such as Capelli eigenvalue problems, spherical functions on supergroups, and polynomiality of faithful dimensions for nilpotent groups. Recent Research Trends: His publications emphasize the interplay between algebraic structures (e.g., Weyl algebras, quantum homogeneous spaces) and representation-theoretic techniques, with applications to quantum computing and cryptography. Notable themes include classification of dual pairs in Lie supergroups and development of hash functions over finite groups. Awards: No awards explicitly mentioned in the provided texts. Advising & Grants: Supervised students include Manal Al-Zahrani, Mengyuan Cao (co-supervised with Monica Nevins), Dene Lepine, and Mitra Mansoori. Postdoctoral researchers include Ali Assem Mahmoud (co-supervised with Anne Broadbent and Monica Nevins). Research activities involve collaboration with groups in algebra and Lie theory. Labs/Teams: Active in research groups focused on algebra, Lie theory, and representation theory within the Department of Mathematics and Statistics at the University of Ottawa.

• Mathematics
• Differential Equations
• Galois Theory
• +3 more

Prof. M. van der Put is a faculty member at the University of Groningen , specifically in the Department of Mathematics . His academic role is centered on research and teaching in advanced mathematical domains. Research interests include Differential Galois Theory , p-adic Differential Equations , and Valuation Theory . His work explores connections between differential equations and algebraic structures, with applications in positive characteristic and rigid geometry. The trends and fields of his recent articles (when dated) emphasize theoretical advancements in Algebraic Geometry , Group Theory , and Differential Algebra , focusing on iterative equations, Galois representations, and non-Archimedean geometries. Teaching responsibilities include Wiskunde 5 (complex function theory), as outlined in the course syllabus. His contact information is available via email at M.van.der.Put@math.rug.nl .

Volkert PaulsenView profile

Senior Lecturer

• Financial Mathematics
• Stochastic Analysis
• Optimal Stopping
• +5 more

Volkert Paulsen is a Senior Lecturer at the Institute of Mathematical Stochastics at the University of Münster. His career spans institutions including the University of Kiel, where he completed his Habilitation (2000), Dissertation (1994), and Diplomarbeit (1989). He has taught extensively in Financial Mathematics , Stochastic Analysis , and Mathematical Statistics , supervising over 50 Bachelor, Master, and Diploma theses on topics such as risk modeling, portfolio optimization, and derivative valuation. Research Interests: Paulsen's work focuses on Financial Mathematics (continuous-time models, American options, unit-linked insurance), Stochastic Analysis (optimal stopping, martingale methods), and Risk Modeling (credit risk, extreme value statistics). His publications include foundational studies on nonlinear observation costs in optimal stopping problems and stochastic approaches to portfolio management. Scientific Contributions: His research spans journal articles in Stochastic Processes and their Applications and Journal of Applied Probability , with recent seminar topics covering Lévy Processes , Copula Modeling , and Stochastic Volatility . He employs R for statistical applications and integrates mathematical theory with practical finance and insurance contexts. Contact: Email: Volkert.Paulsen@uni-muenster.de Room: 130.010, Orléans-Ring 10, 48149 Münster Phone: +49 251 83-33771

Kiumars KavehView profile

Professor

• Algebraic Geometry
• Lie Theory
• Combinatorics
• +8 more

Kiumars Kaveh is a Professor of Mathematics at the University of Pittsburgh, affiliated with the Dietrich School of Arts and Sciences. He holds a PhD from the University of Toronto and a B.Math from Sharif University of Technology. His research focuses on algebraic geometry, Lie theory, and combinatorics, with particular emphasis on the interplay between geometric structures and convex polytopes. He has taught advanced courses such as Algebraic Geometry, Combinatorial Algebraic Geometry, and Lie Groups. Education : PhD, University of Toronto (2002) B.Math, Sharif University of Technology (1996) Research interests include toric varieties, flag varieties, Schubert calculus, Newton-Okounkov bodies, and applications to quantum information. His work bridges algebraic geometry with convex geometry and combinatorics, as seen in his exploration of tropical geometry and Bruhat-Tits buildings. He has published extensively in top-tier journals, with notable contributions to the theory of toric vector bundles and equivariant cohomology. Teaching responsibilities include graduate-level courses in algebra and geometry. While no specific awards are listed, his prolific publication record reflects significant scholarly impact. His research often involves collaborations, as evidenced by projects like 'Collaborative Research: Toric Geometry, Tropical Geometry, and Combinatorial Buildings.'