Find Academic Supervisors

• Arithmetic Geometry
• Algebraic Geometry
• Representation Theory
• +4 more

Prof. Peter Scholze is a leading mathematician at the University of Bonn and the Max Planck Institute for Mathematics (MPIM). He holds a professorship in the Mathematical Institute at the University of Bonn and is affiliated with MPIM as a principal investigator. His research focuses on arithmetic geometry, representation theory, and p-adic geometry, with notable contributions to perfectoid spaces, prismatic cohomology, and the geometrization of the local Langlands correspondence. Scholze has organized several advanced seminars (ARGOS) and taught courses on topics like condensed mathematics, p-adic geometry, and algebraic geometry. He collaborates widely with researchers such as Laurent Fargues and Bhargav Bhatt. His recent work includes groundbreaking papers on wild Betti sheaves, motivic geometrization of the local Langlands correspondence, and the Habiro ring of number fields. Scholze has pioneered the use of prismatic cohomology to unify p-adic Hodge theories and has developed foundational frameworks in derived algebraic geometry. His research also intersects with representation theory and topological cyclic homology. Affiliations: University of Bonn (Mathematical Institute), Max Planck Institute for Mathematics (MPIM) Research Groups: Arbeitsgruppe Arithmetische Geometrie und Darstellungstheorie Teaching: Recent courses include 'Selected Topics in Algebraic Geometry' and 'Six-Functor Formalisms'. His work frequently explores connections between algebraic geometry and number theory, with a focus on geometric approaches to arithmetic problems. Scholze is a key figure in modern arithmetic geometry, influencing both foundational theory and applied areas like the Langlands program.

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

Prof. Peter Scholze is a leading mathematician at the Max Planck Institute for Mathematics in Bonn, specializing in algebraic geometry and arithmetic geometry. He holds the academic rank of Professor and is part of the Arbeitsgruppe Algebraische Geometrie und Darstellungstheorie. His research focuses on foundational questions in algebraic geometry, number theory, and representation theory, particularly through the lens of the Langlands program, p-adic Hodge theory, and perfectoid spaces. Scholze has pioneered geometric approaches to the local Langlands correspondence and introduced revolutionary concepts like prismatic cohomology and condensed mathematics. He actively contributes to academia through advanced courses on topics such as geometrization of the Langlands program, étale cohomology, and condensed mathematics. His work bridges algebraic geometry with representation theory, addressing fundamental problems in arithmetic geometry and p-adic analysis. Scholze’s research outputs include seminal papers on perfectoid spaces, prismatic cohomology, and the geometrization of local Langlands correspondence. He collaborates extensively with leading mathematicians globally, contributing to collaborative research initiatives like the ARGOS seminar and the Habiro ring project. His teaching engagements include advanced lectures on algebraic geometry, representation theory, and p-adic geometry, reflecting his commitment to training the next generation of researchers. Despite no explicitly listed awards in the provided text, Scholze is widely recognized as a Fields Medalist (2018) and a leading figure in modern mathematics.

• Arithmetic Algebraic Geometry
• Motivic Homotopy Theory

Prof. Dr. Niko Naumann is a faculty member at the University of Regensburg, affiliated with the Department of Mathematics (NWF I - Mathematics). His research focuses on the intersection of Arithmetic Algebraic Geometry and Motivic Homotopy Theory. His work explores stable homotopy theory, equivariant algebraic K-theory, and the application of topological modular forms to arithmetic problems. Notable collaborations include researchers such as Tobias Barthel, Akhil Mathew, and Justin Noel. The 15 most recent publications span topics in homotopy theory, algebraic geometry, and number theory, with a particular emphasis on nilpotence theorems, motivic spectra, and arithmetic invariants. Key journals include Inventiones Mathematicae, Advances in Mathematics, and Geom. Topol. Niko Naumann’s departmental role includes leadership in international academic exchange programs like ERASMUS. Current advisees or students are not explicitly listed in the provided text.

Guido KingsView profile

Professor

• Special Values of L-functions
• Tamagawa Number Conjecture
• Polylogarithms
• +3 more

Prof. Dr. Guido Kings is a Professor of Pure Mathematics at the Faculty of Mathematics, University of Regensburg. His research focuses on Special Values of L-functions , Tamagawa Number Conjecture , and Polylogarithms , with significant contributions to Iwasawa Theory and Arithmetic Geometry . He has held leadership roles in research projects such as the CRC Higher Invariants. Prof. Kings has authored influential papers on topics like Eisenstein-Kronecker classes , p-adic interpolation , and regulators in arithmetic geometry . He received the Frontier of Science Award in recognition of his work. His team includes doctoral students and postdoctoral researchers, such as Bernadette Melichar and Julio de Mello Bezerra. Current Affiliations: Faculty of Mathematics, University of Regensburg Recent Courses Taught: Analysis II, Advanced Seminar in Arithmetic Geometry, and Modular Forms Research Group: Comprises scientific staff (e.g., Han-Ung Kufner) and doctoral students working on number theory and algebraic geometry. His publications are widely cited in Annals of Mathematics , Duke Mathematical Journal , and Inventiones Mathematicae , reflecting his expertise in connecting motivic cohomology with p-adic analysis.

Eva ViehmannView profile

Professor

• Arithmetic Geometry
• Representation Theory
• Algebraic Geometry
• +4 more

Prof. Dr. Eva Viehmann is a leading mathematician at the University of Münster within the Faculty of Mathematics and Computer Science and a key figure in the Mathematics Münster cluster. She was awarded the prestigious Gottfried Wilhelm Leibniz Prize 2024 for her groundbreaking work in arithmetic algebraic geometry and representation theory within the Langlands program . University: University of Münster Department: Mathematical Institute Her research focuses on the intersection of algebra , geometry , and analysis , particularly through the lens of Shimura varieties and moduli spaces of local G-shtukas . She has pioneered the study of affine Deligne-Lusztig varieties in equal and mixed characteristics, advancing understanding of their dimension , connectedness , and irreducible components . Recent publications highlight her work on Newton stratification , Harder-Narasimhan theory , and p-adic moduli spaces . Her scientific advisory contributions include mentoring former doctoral student Stefania Trentin and collaborating with Prof. Urs Hartl over 15 years. Awards and honors include the Leibniz Prize 2024 , reflecting her status as a trailblazer in arithmetic geometry and p-adic geometry . Her research projects span the CRC 1442 and EXC 2044 , aiming to unify Galois representations , automorphic forms , and geometric methods .

Urs HartlView profile

Professor

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

Prof. Dr. Urs Hartl is a faculty member in the Department of Mathematics and Computer Science at the University of Münster, affiliated with the Faculty of Mathematics and Computer Science. He is an Investigator in Mathematics Münster and a member of the Collaborative Research Centre (CRC) 1442 'Geometry: Deformations and Rigidity.' His research focuses on arithmetic geometry, representation theory, algebraic number theory, and arithmetic of function fields. He holds a prominent position in the field, contributing to areas such as Shimura varieties, p-adic Hodge theory, and the Langlands program. Affiliations: Member of CRC 1442 Geometry Investigator in Mathematics Münster Research Interests: Arithmetic algebraic geometry Algebraic number theory Arithmetic of function fields Structure theory of Shimura varieties p-adic Hodge theory p-adic Langlands programme Model theory Recent Publications: Hartl's recent work includes studies on moduli stacks of global G-shtukas, periods of Drinfeld modules, and p-adic Galois representations. His research emphasizes foundational contributions to arithmetic geometry and number theory, often involving collaborations with leading mathematicians such as Rajneesh Kumar Singh and Eva Viehmann. Grants & Advising: Hartl’s involvement in CRC 1442 reflects his leadership in geometric research. While specific advising details are not provided, his extensive publications suggest active mentorship in advanced mathematical research. Labs/Teams: Collaborates within the Mathematics Münster research group and the CRC 1442 team, focusing on geometric and arithmetic structures.

Markus LandView profile

Academic

• Algebraic Topology
• Homotopy Theory
• K-Theory
• +3 more

Markus Land is a Tenure Track Professor at the Department for Mathematics, Ludwig Maximilian University of Munich, affiliated with the Algebraic Geometry Working Group. His research bridges algebraic topology, homotopy theory, and K-theory, focusing on their interplay with L-theory and manifold topology. He has held postdoctoral positions at the University of Copenhagen (supported by an EU Marie Curie Fellowship and DFG Grant) and the University of Regensburg, and earned his PhD at the University of Bonn under Wolfgang Lück. Education : PhD in Mathematics (University of Bonn, 2016) Positions : Postdoctoral (University of Copenhagen, 2019–2022; University of Regensburg, 2016–2019) Research Interests : Markus Land explores algebraic topology and homotopy theory , particularly algebraic K-theory , hermitian K-theory , and their connections to L-theory and manifold topology . His work often applies infinity-categories to foundational problems in operator K-theory and geometric topology. Recent Publications : His research includes groundbreaking studies on chromatic localization in K-theory, Grothendieck-Witt groups in ring theory, and additivity in cobordism categories . Collaborations with leading mathematicians like Georg Tamme and Ulrich Bunke highlight interdisciplinary approaches to algebraic and geometric problems. Awards & Grants : EU Marie Curie Individual Fellowship (2020–2022) DFG Individual Research Grant (2019–2020) Teaching & Academic Leadership : He has designed advanced courses including Topology I–V , Algebraic K-Theory , and Condensed Mathematics , emphasizing homotopy theory and infinity-categories . Future initiatives include student seminars on arithmetic and algebraic geometry to foster academic collaboration. Working Group : As part of the Algebraic Geometry Working Group at LMU Munich, he contributes to seminars and research projects on arithmetic geometry , manifold classification , and spectral algebra .

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.

Gerold AlsmeyerView profile

Professor

• Theory of stochastic processes
• Stochastic fixed-point equations
• Iterated function systems
• +7 more

Prof. Dr. Gerold Alsmeyer is a faculty member at the Institute of Mathematical Stochastics, Department of Mathematics and Computer Science, University of Münster. He is an active researcher with a focus on stochastic processes, particularly stochastic fixed-point equations and iterated function systems. His work is supported by his role as an Investigator in Mathematics Münster in the project EXC 2044 - C1: Evolution and asymptotics. His primary research interests include the theory of stochastic processes, branching processes, Markov random walks, renewal theory, and the asymptotic analysis of random structures such as random trees and polytopes. He has made significant contributions to the understanding of fluctuation theory, perpetuities, and the smoothing transform. His recent publications (2017–2023) reveal a sustained focus on theoretical probability, with recurring themes in random difference equations, iterated function systems, and limit theorems for stochastic processes. The work spans pure mathematical theory and applications in mathematical biology and combinatorics, indicating a broad yet deep research profile. Prof. Alsmeyer has supervised numerous doctoral and master’s students, including Viet Hung Hoang, Christopher Eick, Philipp Godland, and Fabian Buckmann, whose dissertations cover topics in branching processes, random walks, and stochastic fixed-point equations. He has no listed scientific awards in the provided texts. He teaches courses in probability theory, mathematical statistics, branching processes, and stochastic recursion equations, demonstrating a strong commitment to academic mentoring and education.

Peter SchneiderView profile

Professor

• Arithmetic geometry
• Representation theory
• Cohomology theories
• +7 more

Prof. Dr. Peter Schneider is a faculty member at the University of Münster, affiliated with the Faculty of Mathematics and Computer Science and the Department of Mathematics and Computer Science . He is a principal investigator in the CRC 1442 Geometry: Deformations and Rigidity and contributes to the Mathematics Münster cluster. University: University of Münster School: Faculty of Mathematics and Computer Science Department: Department of Mathematics and Computer Science Academic Rank: Professor His research focuses on arithmetic geometry and representation theory , particularly the p-adic Langlands program , cohomology theories in mixed characteristics, and noncommutative algebraic structures. He investigates derived categories of p-adic representations, moduli spaces of Galois representations, and geometric approaches to automorphic forms. He has supervised numerous students, including Torsten Schoeneberg (2009), Marten Bornmann (2009), and Marius Kley (2016, 2019). His collaborative works with Rachel Ollivier, Otmar Venjakob, and Marie-France Vigneras explore modular Hecke algebras, Iwasawa theory, and (phi, Gamma)-modules. Emails: pschnei@wwu.de pschnei@uni-muenster.de Workshops Organized: Noncommutative Algebras (2006) Instructional workshop on noncommutative main conjectures (2011) International workshop on K-types for p-adic groups (2003)

Christopher DeningerView profile

Professor

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

Christopher Deninger is a distinguished Professor in the Mathematical Institute at the University of Münster, Germany, where he leads research in Arithmetic Geometry and Representation Theory. His office is located in Room 413 of the Einsteinstr. 62 building, and he maintains active teaching responsibilities including courses in Representation Theory of Finite Groups, Linear Algebra, and specialized topics like Adic Spaces. Deninger's research spans multiple interconnected domains of modern mathematics, with a consistent focus on the deep connections between number theory and geometry. His work has evolved from classical arithmetic geometry to incorporate increasingly sophisticated connections with p-adic analysis, dynamical systems, and more recently proalgebraic fundamental groups. A unifying theme throughout his career has been exploring analogies between different mathematical structures, particularly those connecting analytic number theory with dynamical systems on foliated spaces. His recent publications reveal a continued expansion of his research program into new territories while maintaining connections to his foundational work. The most recent papers show increasing integration of algebraic topology concepts with arithmetic geometry, particularly through proalgebraic fundamental groups and their applications. The consistent thread throughout his decades of publications is the search for deeper structural connections between seemingly disparate areas of mathematics, particularly those bridging analysis, geometry and number theory. Professor Deninger has mentored an extensive number of doctoral students and postdoctoral researchers, as evidenced by the comprehensive list of former members in his working group. His collaborations span the international mathematical community, with numerous joint publications with leading mathematicians across Europe and beyond. While specific grant information isn't detailed in the available materials, his sustained publication record across decades suggests consistent research support for his mathematical investigations. The Mathematical Institute at Münster provides the institutional home for Deninger's research activities, where he maintains an active working group focused on arithmetic geometry and related fields. His office environment includes support staff and colleagues working in closely related mathematical domains, creating a vibrant research community centered around advanced topics in pure mathematics.

Jürg KramerView profile

Professor

• Arakelov Geometry
• Automorphic Forms
• Modular Forms
• +5 more

Prof. Jürg Kramer is a Professor of Mathematics at Humboldt University of Berlin, affiliated with the Faculty of Mathematics and Natural Sciences and the Institute of Mathematics. His research focuses on Arakelov geometry, automorphic forms (particularly modular forms), and their intersections. Notable contributions include advancements in arithmetic intersection theory with logarithmic singularities and sup-norm bounds for modular forms. He is also deeply engaged in mathematics education, leading initiatives for teacher training and promoting mathematical talent through networks like the Berlin School Mathematics Network. Active in academic service, he served as EMS Education Committee Chair (2017–2022) and President of the German Mathematical Society (2013/14). His work bridges pure mathematics with pedagogical innovation, emphasizing public understanding through popular science publications. Research: Arakelov geometry, modular forms, L-functions, hyperbolic geometry methods Education: Teacher training programs, math talent promotion, textbook authorship Affiliations: Leibniz Institute for Science and Mathematics Education (IPN), EMS, Deutsche Akademie der Technikwissenschaften Key educational contributions include Felix-Klein teacher training programs and co-authoring standards for mathematics teacher education. His publications span advanced mathematical research and accessible expositions on topics like Fermat’s Last Theorem and Riemann Hypothesis.

Jörn SteudingView profile

Professor

• Zeta and L-Functions
• Diophantine Analysis
• Modular Forms and Elliptic Curves
• +12 more

Professor Jörn Steuding holds the Professorship for Number Theory at the University of Würzburg since 2006, where he is affiliated with the Institute of Mathematics within the Faculty of Mathematics and Computer Science. His academic career includes a Ramon y Cajal research position at Universidad Autónoma de Madrid (2004-2006), postdoctoral work at the University of Frankfurt under Professors W. Schwarz and J. Wolfart (1999-2004), and completion of his habilitation at Frankfurt in 2004. His educational background includes a PhD from the University of Hannover in 1999 under Prof. G.J. Rieger, where he also served as an assistant from 1996-1999, and undergraduate studies in mathematics at Hannover from 1991-1995. Professor Steuding's research spans multiple areas of number theory, with particular focus on Zeta and L-functions (including zero distribution, universality properties, and connections to Random Matrix Theory), Diophantine analysis (covering approximation theory, equations, and the abc conjecture), elliptic curves and modular forms , algebraic number theory (including arithmetically equivalent fields), and elementary number theory with applications to primality testing and factorization. His work often bridges theoretical foundations with historical perspectives, as evidenced by his research on the Hurwitz brothers' contributions to complex continued fractions. His publication record demonstrates consistent contributions to leading journals in number theory, with research trends showing evolution from foundational work on Riemann zeta function zeros to broader investigations of L-functions in the Selberg class, Diophantine problems over quadratic fields, and historical aspects of number theory. His publications appear in prestigious journals including Mathematische Annalen, Acta Arithmetica, and the Bulletin of the American Mathematical Society. Professor Steuding has authored significant monographs including Diophantine Analysis (CRC Press/Chapman-Hall, 2005), Value distribution of L-functions (Springer Lecture Notes in Mathematics 1877, 2007), and Elementary Number Theory: A Gentle Introduction to Higher Mathematics (Springer Spektrum, 2015, co-authored with N. Oswald). He serves as the Erasmus Coordinator for his department alongside Dr. Jens Jordan, facilitating international academic exchanges. His research collaborations span multiple institutions, with notable co-authors including N. Oswald, M. Technau, H. Nagoshi, and L. Pankowski. Professor Steuding leads the Number Theory team at the University of Würzburg, maintaining an active research group focused on contemporary problems in analytic and algebraic number theory. His work continues to explore connections between classical number theory and modern mathematical physics through Random Matrix Theory applications.

Florian StrunkView profile

Professor

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

Florian Strunk is a Professor in the Department of Mathematics at the University of Regensburg, working within the Faculty of Mathematics. His office is located in room M219 (phone: +49 941 943 2768) and his contact email is florian.strunk@ur.de. Dr. Strunk's research spans several interconnected areas of modern mathematics, with primary focus on Algebraic Geometry, Arithmetic Geometry, and Homotopy Theory. He has developed specialized expertise in Algebraic K-Theory, Motivic Homotopy Theory, and Derived Algebraic Geometry. His scholarly work bridges classical algebraic geometry with contemporary homotopy-theoretic methodologies, advancing our understanding of structural properties of algebraic varieties and schemes. His publication record demonstrates consistent contributions to Algebraic K-Theory and motivic homotopy theory, with significant work on descent properties, connectivity in motivic contexts, and algebraic cycles. His collaborative research with prominent mathematicians like Moritz Kerz and Georg Tamme has appeared in top-tier journals including Inventiones Mathematicae and Compositio Mathematica. As an educator, Dr. Strunk teaches across the mathematics curriculum, from foundational undergraduate courses to advanced graduate seminars. His teaching portfolio includes Algebraic Geometry I and II, Mathematics of Machine Learning, Introduction to Quantum Computing Mathematics, and specialized seminars on Algebraic K-Theory. He has developed comprehensive lecture notes for several courses, reflecting his commitment to effective pedagogy.

• Algebraic Geometry
• Hyperkähler Manifolds
• Rozansky-Witten Invariants
• +3 more

Prof. Dr. Marc Nieper-Wißkirchen is a University Professor (W3) for Algebra and Number Theory at the Institute of Mathematics, University of Augsburg, since 2008. He has held visiting positions at the Max Planck Institute for Mathematics in Bonn and the University of Cambridge, and served as a Junior Professor at Johannes Gutenberg University Mainz (2004–2008). Since October 2021, he has been Vice Dean of the Faculty of Mathematics, Natural Sciences and Technology (MNTF). Education: Diploma in Mathematics (2000) from the University of Cologne, preceded by preliminary diplomas in physics (1997) and mathematics (1997). His doctoral studies (2000–2002) under Prof. Daniel Huybrechts focused on characteristic classes and Rozansky-Witten invariants of hyperkähler manifolds. His research spans algebraic geometry, differential geometry, and mathematical physics, with a focus on hyperkähler manifolds, Hilbert schemes of points, irregular singular connections, and Stokes phenomena. He has contributed to the understanding of Rozansky-Witten invariants, Chern numbers, and topological aspects of differential equations. Recent publications include works on Betti structures of hypergeometric equations (2022) and Stokes matrices for confluent hypergeometric equations (2022), reflecting his ongoing exploration of differential equations' geometric underpinnings. Earlier works address Hochschild homology, equivariant cohomology, and operads in algebraic contexts. His computational contributions include software demonstrations for elliptic curve arithmetic, Collatz sequences, and Google Matrix simulations. Technical expertise includes programming languages (TeX, PHP, HTML) and systems (Unix/Linux, Zope/Plone).