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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.

Damien WoodsView profile

Professor

• DNA Computing
• Molecular Programming
• Self-Assembly
• +3 more

Professor Damien Woods is a faculty member at Maynooth University's Faculty of Science & Engineering, specifically affiliated with the Department of Computer Science and the Hamilton Institute. He leads groundbreaking research in DNA computing, molecular programming, and optical computing, focusing on self-assembly, algorithmic design, and computational complexity. ERC Consolidator Grant: 'Computationally Active DNA Nanostructures' SFI ERC Support Award EIC Pathfinder Challenge Grant: 'DISCO - DNA Infrastructure for Storage and Computation' His research projects explore programmable DNA storage, molecular robotics, and robust self-assembly systems. Recent publications span diverse topics like algorithmic DNA tile assembly, thermodynamic stability, and computational universality in nanosystems. Awards include ERC and SFI grants, with a focus on bridging theoretical computer science and experimental molecular biology. Scientific Contributions include: 2022: 'Turning Machines' - Molecular Robotics 2019: 'Diverse Molecular Algorithms' in Nature 2017: 'A Cargo-Sorting DNA Robot' in Science

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 .

Ovidiu CostinView profile

Professor

• Mathematical Physics
• Differential Equations
• Asymptotics
• +7 more

Ovidiu Costin is a Professor of Mathematics at The Ohio State University's Department of Mathematics, College of Arts and Sciences. His research focuses on mathematical physics, differential equations, asymptotics, and resurgence theory. He holds a PhD from Rutgers University (1995) and has authored numerous influential papers on topics such as Borel summability, Painlevé equations, and quantum dynamics. Education: PhD in Mathematics from Rutgers University, awarded in 1995. Research Interests: Resurgence theory, asymptotic analysis, integrable systems, spectral theory, and complex dynamics. His work bridges pure and applied mathematics, with applications in quantum mechanics and nonlinear dynamics. His recent articles explore non-perturbative solutions of Schrödinger equations, Borel summability in PDEs, and the analysis of singularities in nonlinear systems. Notable contributions include the proof of the Dubrovin conjecture and foundational work on transseries and surreal numbers. Scientific Awards: Recipient of the Guggenheim Fellowship. His research has been supported by NSF grants, including DMS-0103807, DMS-1515755, and others. Teaching: He teaches advanced courses in real and complex analysis, functional analysis, and applied mathematics. Office: Math Tower 404; email: costin.9@osu.edu.

Shi LiView profile

Professor

• Theoretical Computer Science
• Design and Analysis of Algorithms
• Combinatorial Optimization
• +11 more

Shi Li is a Professor in the Theory Group at the Department of Computer Science and Technology, School of Computer Science, Nanjing University. He previously held faculty positions at the University at Buffalo (2015–2023) as Assistant and Associate Professor, and was a Research Assistant Professor at Toyota Technological Institute at Chicago (2013–2015). He earned his Ph.D. from Princeton University in 2014 under Moses Charikar and completed his B.S. in Computer Science and Technology at Tsinghua University, where he was part of Andrew Chi-Chih Yao’s Special Pilot Class. His research lies at the intersection of theoretical computer science and combinatorial optimization, with a focus on the design and analysis of algorithms for problems in clustering, scheduling, network design, facility location, and online algorithms. He also explores learning-augmented algorithms and differential privacy in algorithmic contexts. His work combines deep theoretical insights with practical algorithmic frameworks, often leveraging linear programming relaxations, iterative rounding, and randomized techniques. The recent publications highlight a consistent trend in approximation algorithms, particularly in clustering (e.g., correlation clustering, fair k-set selection), scheduling (e.g., unrelated machine scheduling, load balancing), and robust optimization. His work frequently appears in top-tier theoretical venues such as STOC, FOCS, SODA, and ICALP, with increasing emphasis on fairness, privacy, and efficiency in algorithm design. Best Paper Award of Track A, ICALP 2011 Co-winner of Best Paper Award, FOCS 2012 Invited to Special Issue of SICOMP (FOCS 2017 paper) Best Paper Award, COCOON 2018 Invited to Special Issue of SICOMP (STOC 2019 paper) Best Paper Award of Track A, ICALP 2024 Outstanding Paper Award, SPAA 2024 Shi Li has advised several PhD and master’s students, including Yuda Feng, Han Dai, Zihao Liang, and Jia Ye, and has mentored postdoctoral researcher Ruilong Zhang. He has served on numerous program committees (e.g., STOC, SODA, ICALP) and is an Editorial Board Member of ACM Transactions on Algorithms . He teaches core algorithm courses such as Design and Analysis of Algorithms and Advanced Algorithms , and actively collaborates with researchers worldwide. His lab focuses on theoretical foundations of efficient and fair algorithm design, with applications in large-scale data analysis and distributed systems.

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.

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

Alexander Goncharov is the Philip Schuyler Beebe Professor of Mathematics at Yale University's Department of Mathematics. His research focuses on arithmetic algebraic geometry, geometry, representation theory, and mathematical physics. He has received the European Mathematical Society Prize for his contributions to mathematics. His work spans topics such as motives, moduli spaces, polylogarithms, and quantum geometry. Education: Ph.D. 1987 (USSR). His research explores connections between algebraic geometry, number theory, and physics, with a focus on motivic cohomology, Hodge theory, and geometric representation theory. He has contributed to the understanding of scattering amplitudes, cluster varieties, and quantum invariants of moduli spaces. Research highlights include studies on Hodge correlators, motivic fundamental groups, and the geometry of moduli spaces. His recent work integrates quantum geometry with algebraic structures, such as cluster algebras and non-commutative systems. Key publications address exponential volumes of hyperbolic surfaces, spectral descriptions of non-commutative systems, and quantum aspects of moduli spaces. He has authored over 100 papers and is a leading figure in the field, with contributions to both pure mathematics and its intersections with theoretical physics. His lab or team collaborations are not explicitly detailed in the provided texts.

• 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.

• Arithmetic Topology
• Number Theory
• 3-Dimensional Topology
• +5 more

Masanori Morishita is a Professor at Kyushu University, holding concurrent positions in the Faculty of Mathematics, Joint Graduate School of Mathematics for Innovation, School of Sciences Department of Mathematics, and Graduate School of Mathematics. His research focuses on Arithmetic Topology, exploring the interplay between number theory, 3-dimensional topology, and mathematical physics. He earned his Ph.D. from the University of Tokyo in 1992. Education: B.Sc. from University of Tokyo (1982–1986) Research Interests: Arithmetic Topology, Knot-Prime Analogy, Class Field Theory, Milnor Invariants, Galois Representations Teaching includes linear algebra, calculus, number theory, algebraic geometry, and topology. He has advised 11 master's and 7 doctoral students. His work bridges number theory and topology, with contributions to Ihara theory, Chern-Simons invariants, and arithmetic TQFT. Major grants include JSPS funding for projects on arithmetic field theories and 3D geometric topology. Notable contributions include founding the 'Low Dimensional Topology and Number Theory' conference series and organizing international conferences. He has been a visiting scholar at institutions worldwide, including Muenster University and the Australian National University.

Marcus SpradlinView profile

Professor

• String Theory
• Quantum Gravity
• Quantum Field Theory
• +4 more

Marcus Spradlin is a Professor of Physics at Brown University with expertise in theoretical physics, particularly string theory, quantum gravity, and mathematical aspects of quantum field theory. His research focuses on fundamental structures in high energy physics with significant contributions to scattering amplitudes and cluster algebra applications. Education: A.B. in Physics, Princeton University, 1996 (summa cum laude) Master of Advanced Study in Mathematics, University of Cambridge, 1997 (with distinction) M.A. in Physics, Harvard University, 1999 Ph.D. in Physics, Harvard University, 2001 Spradlin's research program centers on the mathematical foundations of quantum field theory and string theory. He investigates scattering amplitudes in N=4 super Yang-Mills theory, exploring connections between cluster algebras and physical phenomena. His work bridges abstract mathematical concepts with concrete applications in particle physics, particularly examining dualities, geometric structures, and recently, celestial holography approaches. An analysis of Spradlin's publication record reveals a consistent focus on mathematical structures in scattering amplitudes, with numerous papers in the Journal of High Energy Physics and Physical Review. His work shows a progression toward increasingly sophisticated mathematical frameworks, with a notable trend toward celestial holography and geometric approaches to quantum field theory in his most recent publications. Collaborations with Anastasia Volovich form a significant portion of his research output. Teaching: PHYS 0030 - Basic Physics A PHYS 0040 - Basic Physics B PHYS 1970C - String Theory for Undergraduates PHYS 2030 - Classical Theoretical Physics I PHYS 2040 - Classical Theoretical Physics II PHYS 2320 - Quantum Theory of Fields II PHYS 2340 - Group Theory Spradlin maintains an active research program alongside his teaching responsibilities. His publication record shows consistent output with high citation counts, particularly for his work on polylogarithms and scattering amplitudes, indicating significant influence in theoretical physics. He appears to be part of Brown University's theoretical physics research group with connections to other institutions like Harvard University.

• Representation Varieties
• Teichmüller Theory
• Polylogarithms
• +7 more

Christian Zickert is a Professor at the Department of Mathematics, University of Maryland, College Park. His research focuses on representation varieties, Teichmüller theory, polylogarithms, cluster algebras, hyperbolic manifolds, and Chern-Simons theory. He has contributed to the development of triangulation-independent Ptolemy varieties and the study of holomorphic polylogarithms. Contact: zickert@umd.edu | Office: Mathematics Building 4406 | Address: University of Maryland, College Park, MD 20742-4015, USA Research Interests Zickert's work bridges algebraic geometry, topology, and hyperbolic geometry. He investigates: Polylogarithms and their role in Bloch complexes Cluster algebras and mutations in geometric contexts Chern-Simons invariants of 3-manifold representations Hyperbolic geometry and Dehn invariants Publications Overview His recent publications (2015-2024) emphasize: Algebraic structures of polylogarithms Triangulation-independent geometric invariants Applications of cluster algebras to topology Connections between hyperbolic geometry and quantum theory

Alexander R. BlockView profile

Assistant Professor

• Cryptography
• Coding Theory
• SNARKs
• +7 more

Dr. Alexander R. Block is an Assistant Professor at the University of Illinois at Chicago (UIC) , specializing in Cryptography and Coding Theory . He focuses on the concrete security and space-efficiency of SNARKs, error-correcting codes , and locally decodable codes . Before UIC, he was a postdoctoral researcher at Georgetown University and University of Maryland , advised by Justin Thaler and Jonathan Katz. His PhD from Purdue University (2022) was supervised by Jeremiah Blocki. His research bridges theoretical and applied aspects, including field-agnostic SNARKs (CRYPTO 2024) with expand-accumulate codes, Fiat-Shamir security analysis of FRI protocols (ASIACRYPT 2023), and memory-hard puzzles in the standard model (SCN 2022). He has contributed to insertion-deletion error codes (CCC 2023) and secure computation with leaky correlations (TCC 2018, CRYPTO 2017). Dr. Block has received multiple scientific awards , including the Emil Stefanov Fellowship (2021) and Purdue Three Minute Thesis Competition Finalist (2022). His teaching includes courses like UIC's CS 505 - Computability and Complexity Theory (Spring 2025), where he emphasizes interactive proofs and zero-knowledge systems . He actively serves on program committees for CRYPTO , EUROCRYPT , and ZKProof Workshop , and has reviewed for leading journals and conferences.

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 .