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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.

Oliver SchlottererView profile

Associate Professor

• Theoretical Physics
• String Theory
• Mathematical Physics
• +3 more

Oliver Schlotterer holds the position of Associate Professor at Uppsala University, affiliated with both the Department of Mathematics (Centre for Geometry and Physics) and the Department of Physics and Astronomy (Theoretical Physics). His research focuses on theoretical physics and mathematical structures in string theory, particularly exploring string amplitudes, modular forms, and algebraic geometry. He has contributed to understanding one-loop string amplitudes, modular graph forms, and supersymmetric field theories. Education: Not explicitly detailed in the provided text. Departments: Joint appointment in Mathematics and Theoretical Physics. His research interests include the interplay between string theory and mathematical frameworks like modular forms, algebraic geometry, and polylogarithmic functions. Recent work emphasizes chiral-splitting techniques, cyclic products of kernels, and the coaction principle in scattering amplitudes. Collaborations span topics from supersymmetric Yang-Mills theories to Einstein-Yang-Mills systems. Publications highlight advancements in string perturbation theory, including studies on non-holomorphic modular forms, genus-one integrals, and the single-valued map in string theory. His work often bridges high-energy physics with number-theoretic structures, such as zeta functions and Poincaré series. No awards or grants are listed in the provided data. He advises no students explicitly mentioned, though his collaborative research suggests involvement in training through projects. Active in the Centre for Geometry and Physics and theoretical physics groups, his research explores foundational aspects of string theory and their mathematical implications.

Anton MellitView profile

Associate Professor

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

Anton Mellit is an Associate Professor in the Faculty of Mathematics at the University of Vienna. He holds a Doctor of Natural Sciences from the University of Bonn (2008) and completed postdoctoral positions at institutions including the Hausdorff Center for Mathematics (Bonn), Scuola Internazionale Superiore di Studi Avanzati (Trieste), and the Institute of Science and Technology Austria (Klosterneuburg). His research focuses on algebraic geometry, enumerative geometry, and their connections to representation theory, combinatorics, and number theory, with particular emphasis on moduli spaces, categorification, and character varieties. Education: Doctor of Natural Sciences (2008), University of Bonn Master in Applied Mathematics (2004), National Technical University of Ukraine Bachelor in Applied Mathematics (2002), National Technical University of Ukraine Research Interests: Investigates Poincaré polynomials of moduli spaces, Higgs bundles, and character varieties Studies Khovanov-Rozansky homology and torus knots Explores connections between Macdonald polynomials and affine Springer fibers Develops combinatorial approaches to algebraic geometry via Hilbert schemes and categorification Grants & Projects: ERC Consolidator Grant: Macdonald polynomials and related structures in geometry FWF Standalone Project: Refined invariants in combinatorics, low-dimensional topology, and geometry of moduli spaces Labs/Teams: Collaborates with researchers in geometric representation theory, quantum cohomology, and algebraic combinatorics, including notable co-authors like Erik Carlsson, Eugene Gorsky, and Maxim Smirnov.

Don ZagierView profile

Professor

• Number Theory
• Algebraic Geometry
• Modular Forms
• +3 more

Don Zagier is a distinguished mathematician holding positions as Scientific Member and former Director at the Max Planck Institute for Mathematics in Bonn. He has been a Professor at the University of Bonn, University of Maryland, Kyushu University, University of Utrecht, and Collège de France. His work bridges number theory, algebraic geometry, topology, and mathematical physics. Born in 1951, he studied at MIT (1966–1968), earned a D.Phil. from Oxford (1971), and completed his habilitation at Bonn (1975). He has held roles in the Sonderforschungsbereich (SFB) Theoretische Mathematik, served as ICTP Distinguished Staff Associate since 2014, and is an Honorary Member of the London Mathematical Society (2019). Research interests include modular forms, zeta functions, quantum invariants, and algebraic geometry. Notable works include studies on the Birch-Swinnerton-Dyer conjecture, polylogarithms, and the theory of Jacobi forms. His contributions span over 200 publications, including foundational texts like Zetafunktionen und quadratische Körper (1981) and co-edited volumes on modular forms. His awards include the Carus Prize (1984), Frank Nelson Cole Prize (1987), and Karl Georg Christian von Staudt Prize (2001). Research trends in his articles focus on modular forms, knot theory, quantum topology, and the interplay between number theory and geometry. Grants and collaborations are extensive, though specifics remain unspecified. He leads research at the MPI and contributes to global mathematical communities through educational initiatives and editorial roles in journals like Communications in Number Theory and Physics .

Matthias Oliver WilhelmView profile

Associate Professor

• Quantum Field Theory
• Mathematical Physics
• Special Functions
• +3 more

Matthias Oliver Wilhelm is an Associate Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, affiliated with the Quantum Mathematics research group. His work focuses on advanced theoretical physics topics including scattering amplitudes in gauge/gravity theories, Feynman integrals, special functions, and applications of machine learning in physics. He has contributed to groundbreaking research at the intersection of quantum field theory and mathematical physics, particularly in understanding gravitational wave phenomena and high-energy particle interactions. Research Interests: His research combines quantum field theory with algebraic geometry and computational methods, exploring topics like elliptic Feynman integrals, post-Minkowskian expansions, and machine learning-driven amplitude calculations. Recent work includes leveraging Calabi-Yau manifolds for gravity-related Feynman integrals and developing transformer-based algorithms for scattering amplitude computations. Awards: He received the Velux Grant - Villum Young Investigator in 2018, recognizing his innovative contributions to theoretical physics. Projects: Leveraging Algebraic Geometry for High-Precision Fundamental Physics (2024-2028, DFF-funded) Thermodynamics of strongly coupled Quantum Field Theory (2019-2027, private foundation-funded) Key Themes in Recent Work: His articles emphasize novel computational techniques (e.g., machine learning for integration-by-parts reduction), formal developments in scattering amplitude theory, and geometric approaches to quantum gravity problems. Notable contributions include classifying Feynman integral geometries for black-hole scattering and advancing elliptic function methodologies in perturbative QFT.

• Algebraic Number Theory
• p-adic Analysis
• Iwasawa Theory
• +6 more

Prof. Dr. Johannes Sprang is a Professor at the University of Duisburg-Essen, Faculty of Mathematics, leading the Research Group Sprang (RG Sprang). His research focuses on algebraic number theory, p-adic analysis, and Iwasawa theory, with notable contributions to zeta values, elliptic polylogarithms, and cohomological realizations. He advises two PhD students: Guillermo Gamarra Segovia and Riccardo Tosi. His academic background includes a PhD in Mathematics (2017) from the University of Duisburg-Essen, with a thesis on Eisenstein series via the Poincaré bundle and applications. His research interests span p-adic L-functions, transcendence theory, and complex geometry, with a particular emphasis on modular forms and abelian varieties. Teaching responsibilities include courses such as Algebraic Number Theory , Complex Geometry , and Iwasawa Theory . Recent courses highlight his expertise in number theory and geometric methods. His work frequently intersects with algebraic topology and arithmetic geometry, addressing topics like syntomic cohomology and topological modular forms. Prof. Sprang’s publications emphasize the irrationality of zeta values, p-adic interpolation, and cohomological comparisons. His research group collaborates internationally, with projects involving co-authors such as Guido Kings, Wadim Zudilin, and Nobuaki Naumann. No scientific awards are explicitly listed, though his contributions are widely recognized in number theory circles.

Yen-Tsung ChenView profile

Assistant Professor

• Number Theory in Function Fields
• Arithmetic of Drinfeld Modules
• Transcendence Theory
• +3 more

Yen-Tsung Chen is an S. Chowla Assistant Research Professor in the Department of Mathematics at Pennsylvania State University. His research focuses on number theory in function fields, specifically arithmetic of Drinfeld modules, transcendence of special values, and Drinfeld modular forms. He completed his Ph.D. in Mathematics at National Tsing Hua University under Chih-Yu Chang in 2022. Upcoming professional activities include a visit to Texas A&M University (May–August 2025) and Concordia University (June 2025). His work explores advanced topics such as analytic continuation of polylogarithms, modular forms of arbitrary rank, and linear independence criteria in positive characteristic settings. He maintains an active research agenda with collaborations and international engagements in algebraic number theory. Contact details: Office 217 McAllister Building, University Park, PA 16802. Emails: ybc5485@psu.edu and ytchen.math@gmail.com .

• Theoretical High Energy Physics
• Astroparticle Physics
• Gravitational Physics
• +5 more

Chi Zhang is a Postdoctoral Researcher at the Niels Bohr Institute, University of Copenhagen, specializing in theoretical high energy physics, astroparticle physics, and gravitational physics. His research focuses on advanced mathematical structures in quantum field theory with applications to particle physics and cosmology. His primary research interests include: Theoretical High Energy Physics Scattering Amplitudes Feynman Integrals Elliptic Polylogarithms Quantum Field Theory Particle Physics Analysis of his publication record reveals a concentrated effort on developing computational frameworks for multi-loop scattering amplitudes in supersymmetric gauge theories, particularly using elliptic functions and symbology techniques. His work bridges theoretical high-energy physics with mathematical innovation, targeting precision calculations relevant to collider experiments and gravitational physics. Key collaborations include M. Wilhelm, A. Spiering, and R. Morales across multiple high-impact journals.

Daniil RudenkoView profile

Assistant Professor

• Algebraic K-theory
• Multiple polylogarithms
• Scissors congruence
• +3 more

Daniil Rudenko serves as an Assistant Professor in the Department of Mathematics at the University of Chicago. His academic profile is deeply rooted in advanced mathematical research, with a focus on algebraic structures and geometric interpretations. Key affiliations include: Department of Mathematics, University of Chicago Co-creator of the woollymathematics database for historical mathematical problems Rudenko's research interests span several interconnected areas: Algebraic K-theory and its connections to multiple polylogarithms Scissors congruence problems in geometry Trigonometry of tetrahedra in Euclidean and non-Euclidean spaces Cluster algebras and their applications to polylogarithms Goncharov depth conjecture and related topics in motivic cohomology His publication record demonstrates a strong trend towards unifying algebraic, geometric, and topological methods to solve classical problems. Recent work has particularly emphasized the role of Hopf algebras in structuring polylogarithmic functions and the geometric interpretation of algebraic K-theory via volumes of polytopes. This interdisciplinary approach has led to significant contributions in understanding the deep structures underlying mathematical constants and geometric invariants. No scientific awards or honors were listed in the available information. Details regarding graduate student advising, research grants, laboratory facilities, or collaborative teams were not provided in the source material.

• Algebraic K-theory
• Number Theory
• Arithmetic Algebraic Geometry
• +2 more

Rob de Jeu is a Professor at the Department of Mathematics, Vrije Universiteit Amsterdam, affiliated with the Faculty of Mathematics and Natural Sciences. His research focuses on algebraic K-theory, with connections to number theory, arithmetic algebraic geometry, and algorithmic mathematics. He has organized major international conferences and served as principal investigator in EU-funded networks like Arithmetic Algebraic Geometry and Algebraic K-Theory. His research group includes current members Sander Dahmen, Ilke Canakci, and Pol van Hoften, alongside collaborations with postdocs and visiting scholars such as Hang Liu. De Jeu’s work addresses conjectures by Zagier, Beilinson, and others, emphasizing explicit constructions in K-theory, regulator computations, and links to L-functions. Algorithmic contributions include methods for p-adic polylogarithms and numerical verification of conjectures. He has edited volumes like Motives and Algebraic Cycles and Regulators , and contributed to clusters like DIAMANT and GQT in the Netherlands. His recent research explores hyperbolic tessellations in K₃ theory, p-adic Artin L-functions, and elliptic curves over non-Abelian fields. De Jeu advises PhD students and has supervised postdocs in areas spanning K-theory, cohomology, and computational number theory. His work bridges theoretical advances with algorithmic tools, reflected in collaborations with institutions worldwide and frequent international seminar activities.

Erik PanzerView profile

Research Fellow

• Quantum field theory
• Number theory
• Feynman integrals
• +6 more

Dr Erik Panzer is a Royal Society University Research Fellow at the Mathematical Institute, University of Oxford, and a Fifty-Pound Fellow at All Souls College since 2021. His research lies at the intersection of quantum field theory and number theory, focusing on Feynman integrals, hyperlogarithms, and motivic periods. Education: PhD in Mathematics, Humboldt-Universität zu Berlin (2015) CASM (Part III), University of Cambridge (2009-2010) Undergraduate studies at Freie Universität Berlin and Brandenburgische Technische Universität Cottbus Research Interests: Panzer's work spans quantum field theory, number theory, and algebraic geometry. He investigates Feynman graphs and integrals, hyperlogarithms, (elliptic) polylogarithms, and multiple zeta values. His research also delves into motivic periods, combinatorial Hopf algebras, renormalization, and graph complexes. Publications: His recent publications explore advanced topics such as the cohomology of GL₂ₙ(ℤ), regularized integrals, Feynman symmetries, and hierarchies in Picard-Lefschetz theory. His work often involves intricate calculations in quantum field theory and deep connections to number theory. Awards and Grants: Foreign Exchange Scholarship from Studienstiftung (2009-2010) College Prize, Retrospective Title of Scholar 2009/10 (2008) Royal Society University Research Fellowship Events: Panzer has co-organized numerous academic events, including conferences on tropical geometry, periods, and scattering amplitudes, fostering interdisciplinary collaboration.

• Zeta and L-functions
• Iterated integrals
• Polylogarithm functions
• +2 more

Sheldon Joyner is an Associate Professor in the Department of Mathematics & Computer Science at Suffolk University since 2013. Prior positions include Postdoctoral Lecturer at Brandeis University (2011-2013) and Postdoctoral Fellow/Assistant Professor at The University of Western Ontario (2008-2011). He holds a PhD from Purdue University and advanced degrees from Stellenbosch University. Education: PhD, Purdue University; MSc, Stellenbosch University; Hons BSc, Stellenbosch University His research focuses on advanced mathematical structures in number theory and algebraic geometry, particularly zeta and L-functions, iterated integrals, and the interplay between polylogarithm functions and Knizhnik-Zamolodchikov equations. His work also explores Grothendieck-Teichmuller theory and its connections to monodromy representations. Publications highlight trends in algebraic topology, number theory, and mathematical physics, with a focus on geometric and topological invariants derived from iterated integrals and monodromy theory. Key collaborations include work with Ajneet Dhillon on parabolic bundles. Contact: stjoyner@suffolk.edu | Office: 73 Tremont St., Rm. 8094 | Office Hours: Tuesday 2-3 p.m., Wednesday 10-11 a.m.