جست‌وجوی استاد و پژوهشگر

Marcus Spradlinمشاهده پروفایل

استاد

• String Theory
• Quantum Gravity
• Quantum Field Theory
• +۴ مورد دیگر

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.

George E. Andrewsمشاهده پروفایل

استاد

• Number Theory
• Partitions
• q-Series
• +۳ مورد دیگر

George E. Andrews is the Atherton Professor of Mathematics at The Pennsylvania State University, where he has established himself as a leading authority in number theory, particularly in partitions, q-series, and combinatorics. His distinguished career has centered around Penn State, where he holds one of the university's highest academic honors. Dr. Andrews earned his Ph.D. from the University of Pennsylvania in 1964. His academic journey has been primarily at Penn State, where he has developed into one of the world's foremost experts in partition theory and Ramanujan's mathematics. Professor Andrews' research focuses on Number Theory , with special emphasis on Partition Theory and q-Series . He is renowned for discovering Ramanujan's "lost notebook" in 1976, which launched decades of groundbreaking research documented in his five-volume series with Bruce Berndt. His work spans integer partitions, mock theta functions, combinatorial identities, and connections to statistical mechanics. Andrews' 1976 monograph "The Theory of Partitions" remains the definitive reference in the field, and his contributions have revitalized interest in Ramanujan's enigmatic discoveries. Analysis of Andrews' recent publications (2023-2025) reveals continued innovation in partition theory, with increasing attention to overpartitions, Schmidt-type theorems, parity considerations, and connections to modular forms. His work maintains the deep combinatorial insights that characterize his career while expanding into new mathematical territories. The consistency of high-impact research over five decades demonstrates his enduring influence on the field. While specific awards aren't detailed in the provided information, Professor Andrews' distinguished Atherton Professorship at Penn State and his extensive publication record, including multiple volumes on Ramanujan's lost notebook, attest to his significant contributions to mathematics. Throughout his career, Andrews has mentored numerous graduate students and collaborated extensively with mathematicians worldwide, including Bruce Berndt, Richard Askey, and Kimmo Eriksson. His research has been supported by various grants that have enabled the production of influential mathematical texts and the advancement of partition theory. Professor Andrews has been central to a vibrant international research community in partition theory and q-series. His work has inspired and connected researchers across institutions, creating an influential network focused on advancing the understanding of Ramanujan's legacy and partition mathematics.

Christian Krattenthalerمشاهده پروفایل

استاد

• Enumerative Combinatorics
• Algebraic Combinatorics
• Hypergeometric Series
• +۳ مورد دیگر

Christian Krattenthaler is a retired Professor at the University of Vienna's Faculty of Mathematics, specializing in combinatorics and algebraic combinatorics. He is a member of the combinatorics group and co-leads the Arbeitsgemeinschaft für Diskrete Mathematik. His research focuses on enumerative combinatorics, hypergeometric series, and number theory, with notable contributions to lattice path enumeration, determinants, and tilings. He has developed Mathematica packages like HYP, HYPQ, and RATE for hypergeometric series manipulation and sequence guessing. Krattenthaler is an editor for journals such as the Séminaire Lotharingien de Combinatoire, Electronic Journal of Combinatorics, and Annales de l’Institut Henri Poincaré D. His work includes advancements in Pfaffian rings, Schubert varieties multiplicities, and combinatorial identities. Collaborations span across institutions like TU Wien and TU Graz within the Special Research Programme (SFB) on Discrete Random Structures. He has advised numerous students, though specific advisee names are not listed here.

• Combinatorics
• Number Theory
• Special Functions
• +۳ مورد دیگر

Michael Schlosser is an Associate Professor at the Faculty of Mathematics and Department of Mathematics . His research focuses on combinatorics, number theory, and special functions, with a strong emphasis on q-series and hypergeometric series. Research Interests Combinatorics (ascent sequences, lattice paths, rook theory) Number Theory (supercongruences, cyclotomic polynomials, modular forms) Special Functions (theta functions, hypergeometric functions, orthogonal polynomials) Algebra (noncommutative hypergeometric series, matrix inversions) Recent Article Trends (2012-2025) span q-supercongruences, determinant evaluations, asymptotics of Fishburn matrices, lattice path combinatorics, and elliptic hypergeometric series. His work often intersects classical analysis with computational mathematics. Collaborators include prominent researchers like Victor J. W. Guo, Yujun Jin, Ae Ja Yee, Christian Krattenthaler, and Hwang-Fu Zhou.

Alexander Berkovichمشاهده پروفایل

استاد

• Additive number theory
• Partitions
• Combinatorics
• +۵ مورد دیگر

Alexander Berkovich is a Professor of Mathematics at the University of Florida's Department of Mathematics within the College of Liberal Arts and Sciences. He maintains regular office hours on Mondays and Wednesdays in Little Hall 478 and is actively teaching multiple courses for the Fall 2025 semester including MAS 4301 (Abstract Algebra), MHF 3202, and other mathematics courses. Professor Berkovich's research focuses on additive number theory with specialization in partitions, combinatorics, and basic q-hypergeometric series. His work extends into mathematical physics, particularly quantum exactly integrable models, conformal field theory, and special functions. His teaching portfolio demonstrates expertise across abstract algebra, differential equations, and advanced topics in q-series and quadratic forms as evidenced by his specialized graduate course MAT 6932. University of Florida Term Professorship (2017-2020) Professor Berkovich has maintained consistent teaching responsibilities across multiple semesters, instructing both undergraduate and graduate level mathematics courses. His office is located in Little Hall 478 with contact number (352) 294-2291. He has established a research trajectory centered on partition theory and its connections to mathematical physics, as reflected in his course offerings and research interests.

Shane Chernمشاهده پروفایل

پژوهشگر ارشد

• Number Theory
• Enumerative Combinatorics
• Special Functions
• +۵ مورد دیگر

Shane Chern is a mathematician currently pursuing a Ph.D. in the Department of Mathematics at Penn State University under the guidance of Professor George E. Andrews . He will transition to Dalhousie University as a Killam Postdoctoral Fellow in Fall 2021. Research Interests: Number Theory, Combinatorics, Special Functions, and the mathematics of Srinivasa Ramanujan, with specific focus areas including partitions, permutations, circle/sieve methods, Diophantine equations, q-series, and theta/mock theta functions. Honors: Killam Postdoctoral Fellow Contact: chenxiaohang92@gmail.com

• Automorphic Forms
• Modular Forms
• Combinatorics
• +۷ مورد دیگر

Karl Mahlburg was an Associate Professor in the Department of Mathematics at Louisiana State University from 2011 to 2021. He holds a Ph.D. in Mathematics from the University of Wisconsin-Madison, an M.S. in Mathematics, and a B.S. in Mathematics from Harvey Mudd College. His research focuses on automorphic forms, partition theory, combinatorial number theory, and nonstandard analysis. Research interests include: Theory of automorphic forms including modular forms and harmonic Maass forms Applications to partition theory and basic hypergeometric series Algebraic and finite combinatorics including graph theory Combinatorial probability and nonstandard analysis Dr. Mahlburg has received several prestigious awards including the Humboldt Foundation Fellowship, LSU Faculty Excellence Award, and PNAS Paper of the Year Award for his groundbreaking work on partition congruences. His research has been supported by NSF grants and Louisiana Board of Regents funding. He has advised numerous graduate and undergraduate students in mathematics research, with doctoral students pursuing careers in academia and industry. Dr. Mahlburg organized LSU's Problem-Solving Seminar for undergraduate mathematics competitions and served on multiple departmental committees.