جستجوی استاد راهنمای دانشگاهی

William Paulsenمشاهده پروفایل

استاد

• Applied Mathematics
• Fractal Dimensions
• Abstract Algebra

Dr. William Paulsen is a Professor of Mathematics at Arkansas State University 's Beck College of Sciences & Mathematics in the Department of Mathematics & Statistics. His academic journey includes a B.A., M.A., and Ph.D. from Washington University in St. Louis (1985, 1987, 1990). His research spans Applied Mathematics , Fractal Dimensions , and Abstract Algebra , with notable contributions to structural dynamics and aperiodic tiling theories. Education B.A., Mathematics, Washington University - St. Louis, 1985 M.A., Mathematics, Washington University - St. Louis, 1987 Ph.D., Mathematics, Washington University - St. Louis, 1990 Research Interests Dr. Paulsen's work in Applied Mathematics focuses on eigenfrequency distributions in beam structures and fractal dimensions. In Abstract Algebra , he explores group presentations and Galois theory. His 2002 Geombinatorics paper on 3-coloring Penrose tilings demonstrates intersectional creativity in discrete geometry. Publications and Projects Recent studies include the 2014 Journal of Sound and Vibration work on Exterior Matrix Methods for eigenfrequencies and the 2002 Complex Variables analysis of polylogarithms. Earlier works (1990s) address structural engineering challenges and fractal dimension theory. His projects include tetration problem-solving and Abstract Algebra courseware development . Scientific Awards No scientific awards are mentioned in the provided texts. Advising and Collaborations No advisees or collaborative projects beyond co-authored works (e.g., with M. Manning and M. Franklin) are listed in the texts.

• Theoretical High Energy Physics
• Astroparticle Physics
• Gravitational Physics
• +۵ مورد دیگر

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.

• Geometric Galois Actions
• Operads
• Finite Type Invariants of Knots
• +۵ مورد دیگر

Vasily Dolgushev is a Professor in the Department of Mathematics at Temple University, where he maintains his office in Wachman Hall. His research program bridges several sophisticated areas of modern mathematics, with a particular focus on the deep connections between algebraic structures and geometric phenomena. His primary research interests include geometric Galois actions, operad theory, and finite type invariants of knots. Much of his recent work centers on the Grothendieck-Teichmueller group (GT), GT-shadows, and their connections to the absolute Galois group of rational numbers. His investigations explore how these structures relate to embedding spaces, the theory of motives, and Grothendieck's dessins d'enfants (child's drawings). As a US-based participant in the International Research Network for Arithmetic & Homotopic Galois Theory, he contributes to cutting-edge research at the intersection of number theory and topology. Analysis of his recent publications reveals a consistent focus on computational and theoretical aspects of GT-shadows, with increasing attention to their action on combinatorial structures related to Galois theory. His work demonstrates the power of operadic methods in understanding deep arithmetic phenomena, connecting seemingly disparate areas of mathematics through innovative structural frameworks. Dolgushev actively mentors graduate students, including Jingfeng Xia who completed a master's thesis on GT-shadows for the gentle version of the Grothendieck-Teichmueller group. He has established significant collaborative relationships with researchers including Ivan Bortnovskyi, Jacob Guynee, K.Q. Le, A.A. Lorenz, and Geoffrey Schneider. His technical contributions include developing software packages for working with GT-shadows and their action on child's drawings, demonstrating his commitment to making advanced mathematical concepts computationally accessible. His presentations at institutions including Bar-Ilan University, University of Minnesota, Penn, and University of Angers reflect his active engagement with the international mathematical community.

Jonni Virtemaمشاهده پروفایل

مدرس

• finite model theory
• logic in computer science
• logics for dependence and independence
• +۶ مورد دیگر

Dr. Jonni Virtema is a Lecturer in Verification at the School of Computer Science, University of Sheffield, UK, where he has been employed since September 2021. He also serves as the Study Abroad/International Student Exchange Officer for the department. His research is centered within the Foundations of Computation research group, focusing on the theoretical aspects of computer science with particular emphasis on logic and verification. Dr. Virtema earned his MSc (2008) and PhD (2014) in mathematics from the University of Tampere, Finland. In 2020, he was awarded the title of Docent in Mathematical Logic from the University of Helsinki, Finland. Prior to joining the University of Sheffield, he held various research positions funded by prestigious organizations including the German Research Foundation (DFG), the Japan Society for the Promotion of Science (JSPS), the Research Foundation - Flanders (FWO), and the Academy of Finland (AKA). Dr. Virtema's research interests originate from finite model theory and logic in computer science, with specific focus areas including logics for dependence and independence, modal logics, logics for verification, logical foundations of neural networks, logical foundations of quantum information theory, computational complexity, and logics with team semantics. His work bridges theoretical computer science with practical applications in database theory, verification, and artificial intelligence. Recent publications demonstrate his expanding interest in the intersection of logic with neural networks and quantum information. Dr. Virtema has published extensively with 16 journal articles and 40 conference articles, accumulating 791 citations with an h-index of 18 according to Google Scholar. His recent work spans temporal logics, probabilistic team semantics, database repair mechanisms, and neural network theory, showing a clear trajectory toward interdisciplinary research connecting formal methods with emerging technologies. Program Committee Member for KR 2025, NeurIPS 2025, ICML 2025, ICLR 2025 Organizer of Dagstuhl Seminar on Logics for Dependence and Independence (2024) Local Chair for FoIKS 2024 in Sheffield Principal Investigator for DFG project LogQMC (2020-2024) Dr. Virtema maintains an active research presence through international collaborations and has delivered 44 conference talks and 21 seminar presentations worldwide. His work on graph neural networks and arithmetic circuits accepted to NeurIPS 2024 exemplifies his current research direction exploring the logical foundations of machine learning systems.

Daniil Rudenkoمشاهده پروفایل

استادیار

• Algebraic K-theory
• Multiple polylogarithms
• Scissors congruence
• +۳ مورد دیگر

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.

Debmalya Basakمشاهده پروفایل

پژوهشگر ارشد

• Analytic Number Theory
• Distribution of Primes
• Automorphic Forms
• +۵ مورد دیگر

Debmalya Basak is a Research Fellow at the Max Planck Institute for Mathematics in Bonn, Germany, focusing on Analytic Number Theory. Previously, he was a Ph.D. student at the University of Illinois Urbana-Champaign (2021–2025), advised by Prof. Alexandru Zaharescu and Prof. Jesse Thorner. Education Ph.D. in Mathematics, University of Illinois Urbana-Champaign (2021–Present) Integrated BS-MS Dual Degree, Indian Institute of Science Education and Research, Kolkata (2015–2020) His research spans Analytic Number Theory, including distribution of primes, automorphic forms, $L$-functions, exponential sums, circle method, partitions, and probabilistic number theory. His work on exponential sums and quadratic residues has appeared in prestigious journals. Key Publications include studies on Poisson behavior in quadratic residues, Gaussian phenomena in number theory, and applications of exponential sums to partition functions. Scientific Awards Waldemar J., Barbara G., and Juliette Alexandra Trjitzinsky Fellowship Director’s Gold Medal, IISER Kolkata MITACS Globalink Research Fellowship DST-INSPIRE Fellowship, India (2015–2020)

Clément Dupontمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Number Theory
• Mathematical Physics
• +۴ مورد دیگر

Clément Dupont is an Associate Professor at the University of Montpellier, affiliated with the Institut Montpelliérain Alexander Grothendieck (IMAG), a leading mathematics research institute in France. His work bridges pure mathematics and theoretical physics through deep investigations of algebraic structures. His research focuses on Algebraic Geometry , Number Theory , and Mathematical Physics , particularly exploring motives, periods, regulators , and their connections to quantum field theory amplitudes . He investigates multiple zeta values , mixed Hodge theory , and combinatorial Hopf algebras within the framework of hyperplane arrangements and operadic structures . His recent work demonstrates how motivic methods provide rigorous foundations for physical computations in string theory. Analysis of his publication record reveals a consistent trajectory from foundational work on hyperplane arrangements and motivic coactions toward cutting-edge applications in superstring amplitude calculations and regularized integrals . His collaborations with Francis Brown and others have established critical connections between abstract motivic theory and concrete physical phenomena. Dupont actively contributes to the mathematical community through survey articles and expository work, including an introduction to mixed Tate motives and translations of advanced topics for broader audiences. His academic service includes participation in the Séminaire Bourbaki and organization of specialized conferences. His research is conducted within the IMAG institute, which provides a collaborative environment for interdisciplinary work at the intersection of geometry, topology, and mathematical physics. Current projects focus on logarithmic structures in quantum field theory and operadic formulations of geometric phenomena.

• Algebraic K-theory
• Number Theory
• Arithmetic Algebraic Geometry
• +۲ مورد دیگر

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.

Lance J. Dixonمشاهده پروفایل

استاد

• Scattering Amplitudes
• Precision Higgs Physics
• Standard Model
• +۵ مورد دیگر

Lance J. Dixon is a Professor at SLAC National Accelerator Laboratory , operated by Stanford University. His research focuses on theoretical elementary particle physics , particularly higher-order calculations in perturbative QCD, Standard Model Higgs physics, and gauge-gravity dualities. Current affiliation: SLAC National Accelerator Laboratory, Stanford University Email: lance@slac.stanford.edu Phone: (650) 926-2627 Research Interests include: Scattering amplitudes in quantum field theory Precision Higgs and Standard Model calculations Theoretical methods for collider physics Interconnections between gauge theory and gravity Early universe cosmology applications Publications span multi-loop amplitudes in N=4 SYM, Higgs boson phenomenology, and quantum gravity relations. Key contributions include: High-order QCD corrections for collider observables Hexagon function formalism for amplitude bootstrapping Antipodal duality in eight-loop amplitudes Multi-Regge limit analyses Software Tools developed: Vrap : NNLO Drell-Yan rapidity distributions Hexagon function libraries for amplitude calculations

Aaron Hillmanمشاهده پروفایل

پژوهشگر

• Theoretical Physics
• String Theory
• Quantum Gravity
• +۳ مورد دیگر

Aaron Hillman is a Dubridge Postdoctoral Scholar Research Associate in Theoretical Physics at the California Institute of Technology (Caltech), affiliated with the Division of Physics, Mathematics, and Astronomy. His research focuses on foundational questions in theoretical physics, particularly in string theory, quantum gravity, cosmology, and scattering amplitudes. He explores topics such as S-matrix principles, bootstrap methods, and holographic dualities. His work bridges mathematical rigor with physical intuition, addressing challenges in UV/IR divergence structures, cosmological correlators, and phenomenological implications of string models. His research interests span a spectrum of advanced theoretical topics, including: Bootstrap approaches to string scattering and conformal field theories Quantum gravity in de Sitter and asymptotically flat spacetimes Mathematical structures of Feynman integrals and polytopes Emergent time and cosmological dynamics Phenomenological models linking string theory to particle physics Hillman's recent publications highlight a focus on precision methods for scattering amplitudes, cosmological wavefunctions, and the interplay between UV/IR divergences. His work often combines numerical bootstrap techniques with analytical approaches to uncover universal principles governing physical systems. While no awards are explicitly listed, his research trajectory reflects active engagement with cutting-edge theoretical questions. No advising or grant details are available in the provided texts. His affiliation with Caltech's theoretical physics division suggests collaboration opportunities with major facilities like the Institute for Quantum Information and Matter (IQIM) and the Walter Burke Institute for Theoretical Physics (WBITP).

Erik Panzerمشاهده پروفایل

پژوهشگر ارشد

• Quantum field theory
• Number theory
• Feynman integrals
• +۶ مورد دیگر

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
• +۲ مورد دیگر

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.

Niv Buchbinderمشاهده پروفایل

استاد

• Combinatorial Optimization
• Online Algorithms
• Algorithmic Game Theory
• +۲ مورد دیگر

Prof. Niv Buchbinder is a faculty member in the Department of Statistics and Operations Research at the School of Mathematical Sciences, Tel Aviv University. His research centers on algorithmic solutions for combinatorial optimization in offline and online contexts, with significant contributions to primal-dual methodologies and algorithmic game theory. His academic background includes a Ph.D. in Computer Science from the Technion (2008) under Prof. Seffi Naor and an M.Sc. in Computer Science from the Technion (2003) under Prof. Erez Petrank. Key research areas encompass Combinatorial Optimization, Online Algorithms, Algorithmic Game Theory, Primal-Dual Methods, and Submodular Optimization, focusing on competitive analysis for problems like set cover, ad-auctions, and caching. Recent publications (2012-2015) reveal a concentrated effort in submodular optimization and online decision-making, with applications in advertising, resource allocation, and machine learning. These works consistently employ primal-dual frameworks to achieve strong competitive ratios in adversarial settings. Scientific recognition includes: Best Paper Award at ESA 2007 for “Online Primal-Dual Algorithms for Maximizing Ad-Auctions Revenue” Best Paper Award at FOCS 2011 for “A Polylogarithmic Competitive Algorithm for the k-Server Problem” No information is available regarding student advising or research grants. Similarly, details about laboratory facilities, research teams, or future projects are not provided in the source materials.