جستجوی استاد راهنمای دانشگاهی

Rizwanur Khanمشاهده پروفایل

استادیار

• Analytic Number Theory
• Automorphic Forms
• L-functions
• +۳ مورد دیگر

Rizwanur Khan is an Assistant Professor in the Department of Mathematical Sciences at the University of Texas at Dallas (UT Dallas), affiliated with the School of Natural Sciences and Mathematics. His research focuses on analytic number theory, automorphic forms, and L-functions, with notable contributions to the study of moments of L-functions and elliptic curves. Education: Ph.D. in Mathematics, University of Michigan, Ann Arbor (2007) B.A. in Mathematics, University of Cambridge (2002) Research Interests: Khan’s work bridges analytic number theory and automorphic forms, emphasizing L-functions’ properties, such as moments, subconvexity bounds, and their applications to elliptic curves and modular forms. His research explores reciprocity relations, truncation techniques, and spectral analysis in these contexts. Publications Trends: Recent publications address moment estimates of L-functions, elliptic curve ranks over cyclotomic fields, and hybrid subconvexity bounds. His work often involves collaboration with experts in automorphic forms and spectral theory, reflecting a focus on advancing computational and theoretical tools in number theory. Awards: NSF CAREER Grant (2022–2027) NSF Standard Grant (2020–2024) Simons Collaboration Grant for Mathematicians (2019–2023) NSF CBMS Conference Grant (2018–2020) NSF Postdoctoral Fellowship (2007–2010) Grants and Advising: Khan has secured significant NSF and Simons Foundation funding to support research on L-functions and subconvexity. While no students are explicitly listed, his postdoctoral and faculty roles suggest mentorship in mathematical research. He has held positions at UCLA, University of Göttingen, Texas A&M at Qatar, and the University of Mississippi before joining UT Dallas in 2023. Labs/Teams: No specific labs or teams are mentioned, though his work likely intersects with number theory groups at UT Dallas and collaborating institutions.

Emmanuel Kowalskiمشاهده پروفایل

استاد

• Automorphic forms
• L-functions
• Analytic Number Theory
• +۵ مورد دیگر

Emmanuel Kowalski is a Professor of Mathematics at ETH Zurich , where he has been since 2008. Previously, he held professorships at Université Bordeaux I (2000–2007) and was a Veblen Research Instructor at Princeton University and the Institute for Advanced Study (1998–2000). His research focuses on analytic number theory, automorphic forms, and algebraic geometry. Education: École Normale Supérieure de Lyon (1989–1992); PhD in Mathematics from Rutgers University (1998). Research Interests include automorphic forms, L-functions, sieve methods, exponential sums, and probabilistic number theory. His work often bridges number theory with algebraic geometry and harmonic analysis. He has authored over 70 research papers and 6 books, including the influential Analytic Number Theory (2004) with Henryk Iwaniec. Scientific Awards and Invitations include the von Neumann Visiting Fellowship at IAS Princeton (2009), membership in the Board of the Institut des Hautes Études Scientifiques (2016–present), and four invitations to lecture at the prestigious Bourbaki Seminar. He has also delivered key lectures at the Riemann International School of Mathematics and conferences honoring major mathematicians. Grants and Leadership He has organized numerous conferences and research programs, including the 2019 Arithmetic, geometry and modular forms conference at FIM and the 2022 goMath program on Women in Mathematics. He co-leads projects funded by the Swiss National Science Foundation (SNF), such as Trace functions and arithmetic Fourier transforms .

Holly Kriegerمشاهده پروفایل

استاد

• Arithmetic Dynamics
• Complex Dynamics
• Algebraic Geometry
• +۱ مورد دیگر

Professor Holly Krieger is a faculty member at the University of Cambridge , affiliated with the Faculty of Mathematics and the Department of Pure Mathematics and Mathematical Statistics . Her research focuses on Arithmetic Dynamics , Complex Dynamics , and Algebraic Geometry , with recent work on rational periodic points and Manin-Mumford conjectures. Role : Professor Email : hkrieger@dpmms.cam.ac.uk Her research spans dynamical systems with applications to number theory and algebraic geometry. Key contributions include studies on birational maps, preperiodic points, and cohomological properties of endomorphisms. Recent publications (2024–2012) highlight her expertise in arithmetic and complex dynamics, with a focus on rational maps, Galois representations, and equidistribution problems. Email : hkrieger@dpmms.cam.ac.uk Room : E1.19 Phone : 01223 337970 Homepage : Personal Page

Gyujin Ohمشاهده پروفایل

استادیار

• Number Theory
• Algebraic Number Theory
• Arithmetic Geometry
• +۵ مورد دیگر

Gyujin Oh is a Ritt Assistant Professor in the Department of Mathematics at Columbia University's Faculty of Arts and Sciences. He received his PhD in mathematics from Princeton University in 2022 under the supervision of Christopher Skinner and Akshay Venkatesh. Prior to joining Columbia, he was a postdoctoral member of the SLMath/MSRI program Algebraic Cycles, L-Values, and Euler Systems in Spring 2023. Dr. Oh's research spans multiple areas of number theory and arithmetic geometry. His primary interests include Algebraic Number Theory, the Langlands Program, Modular Forms, Galois Representations, and Arithmetic Geometry. His work often bridges classical number theory with modern geometric approaches, exploring connections between automorphic forms, cohomology theories, and arithmetic structures. He has made contributions to understanding rigid local systems, the Néron-Ogg-Shafarevich criterion, and various aspects of the Langlands correspondence. His recent publications demonstrate a strong focus on advanced topics in number theory, particularly exploring the intersection of modular forms, Shimura varieties, and Galois representations. His work on generalized Whittaker models, moduli stacks of crystals, and arithmetic quantum local systems reflects his interest in both classical and cutting-edge approaches to number-theoretic problems. The pattern in his research shows a consistent theme of connecting geometric structures with arithmetic phenomena. Dr. Oh is an active educator who has developed comprehensive lecture notes for both undergraduate and graduate courses in Algebraic Number Theory. In Spring 2025, he is teaching Graduate Algebraic Number Theory (MATH GR6657) at Columbia University, covering local and global class field theory, Langlands program connections, and related advanced topics. He has also been involved in organizing and participating in numerous learning seminars including the Moduli of Langlands Parameters seminar, Theta learning seminar, and Deformation theory learning seminar.

Christopher Ramseyمشاهده پروفایل

دانشیار

• Operator Algebras
• Functional Analysis
• Multivariable Operator Theory
• +۵ مورد دیگر

Christopher Ramsey is an Associate Professor and Interim Chair of the Department of Mathematics and Statistics within the Faculty of Arts and Science at MacEwan University in Edmonton, Alberta. He holds a PhD in Pure Mathematics from the University of Waterloo (2013), an MMath from Waterloo, and a BSc Honours from the University of Regina. Dr. Ramsey's research centers on operator algebras and functional analysis, with particular emphasis on non-selfadjoint operator algebras and multivariable operator theory. His work explores connections between analysis and algebra, studying algebras of infinite matrices and their applications to group theory, dynamical systems, free probability, and quantum information theory. He also investigates aperiodic order and its mathematical structures. His recent publications (2020-2025) demonstrate a consistent focus on operator algebras, with significant contributions to C*-algebras, tensor algebras, and their applications. The research spans theoretical foundations in functional analysis while connecting to diverse fields including symbolic dynamics, aperiodic structures, and quantum information. His work often bridges abstract algebraic structures with concrete analytical problems. Dr. Ramsey has received notable recognition including an NSERC Discovery Grant (2019), a MacEwan University Project Grant (2019), and an NSERC Postdoctoral Fellowship (2013). He serves as Editor-in-Chief of the MacEwan University Student eJournal (MUSe) and Associate Editor of the Canadian Transactions of Operator Theory. As an educator, Dr. Ramsey teaches various mathematics courses and supervises senior students' independent studies. His academic service includes editorial work and active participation in the Canadian Mathematical Society. His research program continues to develop connections between operator algebras and their diverse applications across mathematical disciplines.

• Theoretical Computer Science
• Computational Complexity Theory
• Algebra
• +۱ مورد دیگر

Nitin Saxena is a Professor in the Department of Computer Science and Engineering at the Indian Institute of Technology Kanpur. He holds a PhD from IIT Kanpur (2006) and a B.Tech from the same institution (2002). His academic career has been centered at IIT Kanpur, where he has made significant contributions to theoretical computer science. His research focuses on Theoretical Computer Science, particularly Computational Complexity Theory, Algebra, and Algebraic Geometry. His work bridges computer science with advanced mathematical concepts, creating innovative approaches to computational problems. His research has established important connections between algebraic geometry and computational complexity, advancing our understanding of fundamental computational limits. Saxena's publication record shows consistent high-impact research from 2004 through 2012, with multiple papers appearing in top theoretical computer science venues including STOC, ICALP, and IEEE Conference on Computational Complexity. His work spans circuit complexity, identity testing, algebraic independence, and primality testing, demonstrating both depth and breadth in theoretical computer science. Best Paper at ICALP Conference 2011 IEEE Conference on Computational Complexity Best Paper Award 2006 IEEE Conference on Computational Complexity Best Student Paper Award 2006 Goedel Prize 2006 Fulkerson Prize 2006 Distinguished Alumnus Award of IIT Kanpur 2003 Global Indus Technovators Awards 2003 Professor Saxena has received prestigious recognition for his work, most notably the Goedel Prize and Fulkerson Prize in 2006 for the groundbreaking 'PRIMES is in P' paper, which resolved a fundamental question in computational number theory. His research has been consistently supported by the academic community through invitations to special journal issues following conference presentations. Based in Room 203 of the Department of Computer Science and Engineering at IIT Kanpur, Professor Saxena continues to contribute to theoretical computer science through research, teaching, and academic service.

Leo Goldmakherمشاهده پروفایل

دانشیار

• Number Theory
• Cryptography
• Topology
• +۷ مورد دیگر

Leo Goldmakher is an Associate Professor of Mathematics at Williams College, where he teaches courses in cryptography, topology, Fourier analysis, measure theory, and analytic number theory. He holds a B.A. in Mathematics from Princeton University (2004) and a Ph.D. in Mathematics from the University of Michigan (2009). Research interests Teaching areas Publications His research focuses on number theory, including topics such as Gauss sums, character sums, multiplicative functions, and analytic methods. He has contributed to refinements of classical theorems like Lagrange’s four-square theorem and Artin’s primitive root conjecture. His recent publications explore bounds on character sums, spectral properties of random graphs, and algebraic structures in number theory. The work demonstrates a strong emphasis on analytic and algebraic techniques. Leo has been affiliated with Williams College’s Department of Mathematics and Statistics, which received the 2014 Exemplary Department Award from the American Mathematical Society. He has taught advanced courses such as Cryptography, Topology, and Analytic Number Theory, though these were not offered in the 2025/26 academic year.

• Analytic Number Theory
• Random Matrix Theory
• Mathematics
• +۳ مورد دیگر

Brad Rodgers is an Associate Professor in the Department of Mathematics and Statistics at Queen's University. He holds a Ph.D. from the University of California Los Angeles. His research focuses on the intersection of analytic number theory, probability, and random matrix theory, particularly exploring connections between prime number distributions and statistical physics models. He investigates randomness in discrete mathematical structures and the implications of these for open problems in number theory. Education: Ph.D., University of California Los Angeles Research Interests: Rodgers examines quantitative questions in number theory using tools from analysis and probability. His work bridges analytic number theory with random matrix theory, a field emerging from studies on the Riemann zeta-function's zeros. He explores how randomness manifests in discrete mathematical systems, including applications to statistical physics. Awards/Grants: No specific awards or grants listed in available information. Labs/Teams: No dedicated lab or team affiliation explicitly mentioned.

Nathan Ngمشاهده پروفایل

استاد

• Analytic Number Theory
• Riemann Zeta Function
• L-functions
• +۲ مورد دیگر

Nathan Ng is a Professor in the Department of Mathematics and Computer Science at the University of Lethbridge , Canada, and has served as the PIMS Site Director since 2019. His research lies at the intersection of analytic number theory and L-functions, with a particular focus on the Riemann zeta function, prime number distribution, and multiplicative number theory. Education: He earned a B.Sc. from the University of British Columbia (1994), an M.Sc. from the University of Toronto (1995), and a Ph.D. from UBC (2000). His doctoral thesis, Limiting Distributions and Zeros of Artin L-functions , laid the groundwork for his subsequent research. Research Interests: His work spans a wide range of topics in analytic number theory, including: Mean values and moments of L-functions Non-vanishing of L-functions Distribution of zeros of the Riemann zeta function Prime number races and comparative prime number theory Chebotarev density theorem and applications Convolution sums of arithmetic functions Publications: He has published extensively in leading journals such as Proceedings of the London Mathematical Society , Duke Mathematical Journal , and Advances in Mathematics . His recent work includes studies on the sixth and eighth moments of the Riemann zeta function, subconvexity bounds for L-functions, and effective versions of Chebotarev's density theorem. Awards and Honors: He received the Canadian Mathematical Society Doctoral Prize in 2001 for his outstanding doctoral dissertation. Student Supervision: He has supervised or co-supervised numerous graduate students and postdocs, including: Ph.D. Students: Farzad Aryan (2016), Sourabhashis Das (ongoing), Quanli Shen (ongoing) M.Sc. Students: Allysa Lumley (2014), Majid Shahabi (2012) Postdocs: Lee Troupe, Peng-Jie Wong, Alia Hamieh, Timothy Trudgian, Brandon Fodden Seminar and Conference Organization: He is an active organizer of the Lethbridge Number Theory and Combinatorics Seminar and has co-organized major conferences such as the Canadian Number Theory Association (CNTA XII) meeting in 2012 and the Analytic Number Theory and Diophantine Approximation Summer School in Ottawa (2008). Labs and Teams: He is affiliated with the Lethbridge Number Theory Group , a vibrant research collective within the department that fosters collaboration and supports graduate training in number theory.

Jörn Steudingمشاهده پروفایل

استاد

• Zeta and L-Functions
• Diophantine Analysis
• Modular Forms and Elliptic Curves
• +۱۲ مورد دیگر

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.

• Analytic Number Theory
• Number Theory
• Mathematics

Dr. Jiseong Kim serves as a Visiting Assistant Professor in the Department of Mathematics at the University of Mississippi, affiliated with the College of Liberal Arts. His research focuses on Analytic Number Theory , exploring advanced topics such as divisor functions, Hecke eigenvalues, and Goldbach conjectures. He teaches core courses including Unified Calculus & Analytic Geometry I, III, IV, and Elementary Differential Equations. His recent work emphasizes applications of zero-free regions, shifted sums, and ergodic averages in number-theoretic contexts. Research Interests: Analytic Number Theory with specializations in additive problems, distribution of arithmetic functions, and L-functions. His studies often involve advanced techniques from modular forms and automorphic representations. His publications (2021–2024) reveal a focus on primes in short intervals, divisor function behavior, and Hecke eigenvalue distributions. While no awards are explicitly listed, his active publication record indicates strong scholarly engagement. Teaching responsibilities include foundational calculus and differential equations courses. No grants or student advisees are currently documented.

Vincent John Mooney IIIمشاهده پروفایل

دانشیار

• Hardware-Software Co-Design
• Cyber Physical Systems Security
• System Level Design
• +۷ مورد دیگر

Vincent John Mooney III is an Associate Professor at the School of Electrical and Computer Engineering and an Adjunct Associate Professor at the School of Computer Science, Georgia Institute of Technology. His research focuses on Hardware-Software Co-Design , Cyber Physical Systems Security , and Low-Power Architectures . He has authored numerous publications on topics such as probabilistic computing, hardware security, and embedded systems design. Dr. Mooney has received prestigious awards including the NSF Career Award , National Semiconductor Fellowship , and ARCS Best Paper Award . Education: Ph.D. in Electrical Engineering (1998), Stanford University MA in Philosophy (1997), Stanford University MS in Electrical Engineering (1994), Stanford University Certificate of Graduate Study (1992), University of Navarra BS in Electrical Engineering and Computer Science (1991), Yale University Research interests span hardware/software codesign, cybersecurity in embedded systems, and synthesis of reconfigurable architectures. His recent work includes Gridtrust for decentralized supply chain cybersecurity and COPPER for computation obfuscation. Dr. Mooney has supervised numerous Ph.D. students and held leadership roles in conferences such as HOST and CASES . Scientific awards include NSF Career Award (2000) National Semiconductor Fellowship (1997-1998) AT&T Engineering Scholarship Program (1987-1991) NCAA Postgraduate Scholar (1991) Senior Member, IEEE (2003) ARCS 2012 Best Paper Award Advising and grants highlight his mentorship of students like Jun Cheol Park and Yudong Tan , along with grants such as the U.S. Air Force Summer Faculty Fellowship (2007). He leads the Hardware/Software Codesign for Security Group at Georgia Tech and has contributed to advancements in real-time operating systems and deadlock detection algorithms.

• Ergodic Theory
• Combinatorics
• Ergodic Ramsey Theory
• +۳ مورد دیگر

Vitaly Bergelson is a Professor of Mathematics and Physical Sciences at The Ohio State University, affiliated with the Department of Mathematics within the College of Arts and Sciences. His work focuses on Ergodic Theory , Combinatorics , Ergodic Ramsey Theory , Polynomial Szemerédi Theorems , and Number Theory . He holds a PhD from the Hebrew University of Jerusalem (1984). His research explores the interplay between ergodic systems, combinatorial structures, and number-theoretic phenomena. Notable contributions include polynomial extensions of Szemerédi's theorem and foundational work on ergodic Ramsey theory. Recent articles address topics like multiplicative functions, Diophantine approximations, and quasirandom group structures. His work often bridges abstract mathematical frameworks with concrete combinatorial problems, yielding applications in additive combinatorics and symbolic dynamics. Publications highlight advancements in recurrence properties, uniform distribution, and the structure of algebraic dynamical systems. Collaborations with scholars like A. Leibman, N. Hindman, and J. Moreira underscore his interdisciplinary approach. His research is disseminated through top-tier journals such as Inventiones Mathematicae and Journal d'Analyse Mathématique .

Keith Conradمشاهده پروفایل

دانشیار

• Number Theory
• Algebraic Number Theory
• Analytic Number Theory
• +۳ مورد دیگر

Keith Conrad is an Associate Professor in the Department of Mathematics at the University of Connecticut (UConn), part of the College of Liberal Arts and Sciences. His research focuses on Number Theory, particularly in areas such as algebraic and analytic number theory, prime numbers, arithmetic geometry, and modular forms. He has published extensively on topics like congruent numbers, prime specialization, and the Möbius function. His work integrates classical number theory with modern algebraic techniques, contributing to foundational understanding in the field. Conrad is actively involved in academic outreach, organizing and teaching at programs like the Ross Mathematics Program and PROMYS. He has delivered lectures on advanced topics such as L-functions, the Riemann Hypothesis, and the ABC conjecture. His expository papers and teaching materials emphasize clarity and accessibility, bridging gaps between complex mathematical concepts and broader audiences. Conrad's academic contributions include significant publications in journals like *Mathematics Magazine* and *Journal für die reine und angewandte Mathematik*, as well as expository works on modular forms, prime patterns, and historical aspects of representation theory. He maintains a comprehensive website with resources for students and researchers, including detailed lecture notes, problem sets, and links to mathematical tools and software.

Patrick Ingramمشاهده پروفایل

دانشیار

• Number Theory
• Diophantine Geometry
• Arithmetic of Elliptic Curves and Surfaces
• +۴ مورد دیگر

Patrick Ingram is an Associate Professor at the Department of Mathematics and Statistics , Faculty of Science , York University . His research focuses on number theory and diophantine geometry , particularly the arithmetic of elliptic curves and surfaces , and dynamical systems over global fields . His scholarly work includes significant contributions to the study of canonical heights , post-critically finite maps , and primitive divisors in arithmetic dynamics . His research often bridges complex dynamics with number theory, exploring the interplay between Galois representations , Drinfeld modules , and polynomial iterations . Patrick has received the Top Cited Article 2007 - 2011 award from the Journal of Number Theory . He collaborates with leading mathematicians in arithmetic dynamics, including Joseph H. Silverman , and has published extensively in top-tier journals such as the Duke Mathematical Journal , Proceedings of the London Mathematical Society , and Transactions of the American Mathematical Society . His work spans both theoretical advancements and computational techniques in algebraic divisibility sequences and rigidity theorems .