جستجوی استاد راهنمای دانشگاهی

Barry Mazur is the Gerhard Gade University Professor at Harvard University's Department of Mathematics (Faculty of Arts and Sciences). Born on December 19, 1937, he earned his Ph.D. in Mathematics from Princeton University in 1959. His research focuses on Number Theory, Automorphic Forms, Algebraic Geometry, and the Philosophy of Mathematics. Mazur has held prestigious positions, including the William Petschek Professorship (1982–1998) and his current named chair since 1998. He has been honored with major awards such as the National Medal of Science (2013), the Chern Medal (2022), and membership in the National Academy of Sciences. His work bridges mathematical rigor with philosophical inquiry, exemplified in his book Imagining Numbers (2003), which explores the imaginative leap required to grasp abstract mathematical concepts like imaginary numbers. Mazur’s contributions span expository writing, historical analysis, and foundational research. Recent works include lectures on the history of mathematics as a tool and explorations of connections between logic and number theory. His research often integrates interdisciplinary perspectives, reflecting his belief in the interplay between mathematical thought and broader intellectual traditions.

• Number Theory
• Automorphic Forms
• Algebraic Geometry
• +۳ مورد دیگر

Dr. Mark Watkins is an academic staff member at the University of Sydney's School of Mathematics and Statistics, affiliated with the Computational Algebra Research Group. His research focuses on Number Theory , Algebraic Geometry , and Computational Algebra , with a particular emphasis on elliptic curves, modular forms, and lattice theory. He has contributed to topics ranging from Selmer group distributions to combinatorial game theory in chess. PhD in Mathematics Member of the Computational Algebra Research Group Email: mark.watkins@sydney.edu.au Watkins' recent publications (2010–2022) explore advanced mathematical concepts such as quadratic twists of elliptic curves, spectral proofs of class numbers, and algorithmic chess strategies. His work bridges theoretical mathematics with computational tools, including contributions to the Magma software system for algebraic computations. He has no listed scientific awards but maintains active research collaborations with institutions globally. His research addresses fundamental questions in number theory and algebraic geometry, with applications to cryptography and computational methods.

• Number Theory
• Algebraic Geometry
• Elliptic Curves
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Felix Janda is an Assistant Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign (UIUC), affiliated with the College of Liberal Arts & Sciences. His research focuses on algebraic geometry, particularly moduli spaces and their applications in Gromov-Witten theory, logarithmic geometry, and strata of holomorphic differentials. He has organized workshops such as the 2019 SCGP program on higher genus curve counting and the 2017 RTG Workshop on Witten's r-spin class. Education: Ph.D. in Mathematics from ETH Zurich under R. Pandharipande. His work has been supported by NSF grants DMS-1901748, DMS-2054830, and DMS-2239320. He has advised graduate students including Nawaz Sultani (now at Academia Sinica) and Ruoxi Li. Research interests span moduli spaces of curves, quasimap theory, and logarithmic gauged linear sigma models (log GLSM). Key contributions include foundational work on wall-crossing phenomena and tautological relations. His articles explore topics like universal equations for Gromov-Witten invariants, topological recursion relations, and structural formulae in log GLSM. Teaching roles include courses at UIUC (e.g., Abstract Algebra), the University of Notre Dame (Calculus I/II), and the University of Michigan (Linear Algebra, Topology).

• Algebraic Geometry
• Moduli Spaces
• Gromov-Witten Theory
• +۳ مورد دیگر

Professor David Burns is a Professor of Pure Mathematics at King's College London's Department of Mathematics, part of the Faculty of Natural, Mathematical & Engineering Sciences. His research focuses on Number Theory, with particular emphasis on Iwasawa Theory, Stark's Conjecture, and L-functions. He previously studied and held a Junior Research Fellowship at the University of Cambridge before joining King's. He has held visiting positions at institutions including the Universities of Bordeaux, Paris, and Harvard. His research interests include the Tamagawa Number Conjecture of Bloch and Kato, non-commutative Iwasawa Theory, and epsilon constants. He has been recognized with prestigious awards such as the Berwick Prize (1999), a Leverhulme Fellowship (2005), and the Supervisory Excellence Award from King's (2008 and 2023). He has supervised numerous PhD students, many of whom have contributed to leading journals in the field. Education : Undergraduate and graduate studies at the University of Cambridge. Key Research Areas : Iwasawa Theory (including non-commutative aspects) Stark's Conjecture and refinements Euler, Kolyvagin, and Stark systems Algebraic K-theory and homological algebra His publications span over 60 peer-reviewed articles, including foundational work on the Equivariant Tamagawa Number Conjecture and geometric L-functions. Recent work explores p-adic families of special elements and derivatives of Euler systems. Collaborations include projects with leading researchers globally, contributing to areas like arithmetic geometry and non-abelian Iwasawa theory. Grants & Awards : Berwick Prize (London Mathematical Society, 1999) Leverhulme Fellowship (2005) Supervisory Excellence Awards (2008, 2023) He is part of King's Number Theory Group and actively engages in academic leadership, including organizing conferences and editorial roles. His research bridges algebraic geometry, number theory, and homological algebra, with ongoing projects exploring conjectures in arithmetic geometry and Galois module structures.

• Number Theory
• Iwasawa Theory
• Algebraic K-theory
• +۵ مورد دیگر

Dr. Svetlana Katok is a Professor of Mathematics at Penn State University’s Eberly College of Science, Department of Mathematics. She specializes in dynamical systems, hyperbolic geometry, and automorphic forms. Her research bridges symbolic dynamics, entropy theory, and applications to number theory. Ph.D. from University of Maryland (1983) Recipient of 2013 AMS Fellowship and 2004 AWM Emmy Noether Lecture Her work focuses on boundary maps for Fuchsian groups, entropy rigidity, and geometric flows. Key contributions include studies on (a,b)-continued fractions and their dynamical properties. She co-founded the Anatole Katok Center for Dynamical Systems and Geometry, honoring her late husband. Publications span entropy flexibility, measure-theoretic dynamics, and collaborations with leading mathematicians like Anatole Katok and Ilie Ugarcovici. Teaching includes advanced courses on p-adic analysis and Fuchsian groups. Her work impacts both pure and applied mathematics, with interdisciplinary ties to geometric analysis and number theory.

• Hyperbolic Geometry
• Symbolic Dynamics
• Ergodic Theory
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John Lesieutre is an Associate Professor in the Department of Mathematics at Pennsylvania State University, affiliated with the Eberly College of Science. His research focuses on algebraic geometry and algebraic dynamics, particularly automorphisms of higher-dimensional varieties, height and degree growth under rational maps, and classical algebraic geometry. He holds a PhD from MIT (2014) and a BA from Harvard (2009). He has been recognized with prestigious awards, including the NSF CAREER Award (2022–2027) and the Alfred P. Sloan Research Fellowship (2019–2023). His work has been supported by grants such as the NSF Algebra and Number Theory Grant (2017–2021). Lesieutre advises several PhD students and has organized conferences like the McKernan 60th Birthday Conference (2024) and the Workshop on Higher Codimension Cycles (2016). He teaches advanced mathematics courses, including Algebraic Geometry II and Linear Algebra, and has received teaching awards including the Charles and Holly Housman Award (MIT, 2013). His research spans topics like birational geometry, dynamics on algebraic varieties, and automorphism groups, with over 15 publications in journals such as Inventiones Math and the Journal of Modern Dynamics. He actively participates in academic seminars and colloquia globally, contributing to the broader mathematical community through organizing workshops and serving on thesis committees.

• Algebraic Geometry
• Algebraic Dynamics
• Automorphisms of Varieties
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Amita Malik is an Assistant Professor in the Department of Mathematics at the Pennsylvania State University, affiliated with the Eberly College of Science. Her office is located at 331 McAllister Building. She specializes in advanced mathematical research with a focus on number theory and related fields. Dr. Malik's work often intersects with algebraic geometry, analytic number theory, and combinatorics. Her research interests include the study of elliptic curves, partition theory, modular forms, zeta functions, and geometric structures such as Apollonian gaskets and Ford circles. She explores topics like extremal primes, equidistribution of zeros, and divisibility properties of special number sequences. Her contributions bridge pure mathematics with applications in complex analysis and dynamical systems. Dr. Malik's recent publications (2014–2025) reflect her deep engagement with these areas, addressing questions about Riemann ξ-function zeros, mock theta functions, and spatial statistics of fractal geometries. Her work often employs tools from harmonic analysis and algebraic geometry, demonstrating a commitment to interdisciplinary approaches. No scientific awards or grants are explicitly noted in the provided materials. She does not have listed advisees or students, though her research may involve collaborations with graduate students or postdoctoral researchers not detailed here.

• Number Theory
• Analytic Number Theory
• Algebraic Geometry
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**M. Ram Murty** is a distinguished academic and researcher in the Department of Mathematics at Queen's University, Canada, where he holds the title of A. V. Douglas Distinguished University Professor and Queen's Research Chair. He earned his Ph.D. from the Massachusetts Institute of Technology (MIT) under Harold Stark. His primary research interests include number theory, zeta functions, sieve methods, modular forms, graph theory, and combinatorics, with notable contributions to the Langlands program and the theory of L-functions. Murty has authored over 150 publications and multiple influential books, including Problems in Analytic Number Theory , Transcendental Numbers , and Indian Philosophy: An Introduction . He has supervised numerous doctoral and master's students, guiding them in areas ranging from number theory to philosophical studies. His academic journey includes visiting professorships at institutions like the Tata Institute of Fundamental Research, Harish-Chandra Research Institute, and the Indian Institute of Technology. Professionally, Murty has been recognized with prestigious awards such as the Balaguer Prize (1996), Jeffery-Williams Prize (2003), and the CRM-Fields-PIMS Prize (2024). He is a Fellow of the Royal Society of Canada, the American Mathematical Society, and the Canadian Mathematical Society. His work bridges pure mathematics with interdisciplinary topics, including philosophical explorations of mathematics and its cultural significance.

• Number Theory
• Zeta Functions
• Sieve Methods
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Lance Edward Miller is Professor of Mathematics at the University of Arkansas, specializing in commutative algebra, arithmetic geometry, and algebraic geometry. He holds a Ph.D. in Mathematics and Computer Science from the University of Connecticut. His research explores F-singularities, Witt vectors, and arithmetic differential equations. Current projects include derived jet schemes and Frobenius closure computations. He advises PhD students in algebra and topology, emphasizing rigorous preparation through preliminary exams and research seminars. Miller organizes the Algebra Seminar and Curry Seminar series, covering topics from derived algebraic geometry to p-adic cohomology. He has served as conference chair for CATS (Commutative Algebra in The South) and AMS special sessions.

• Commutative Algebra
• Arithmetic Geometry
• Algebraic Geometry
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Dr. Ayla Gafni is an Assistant Professor of Mathematics at the University of Mississippi's Department of Mathematics, part of the College of Liberal Arts. Her expertise lies in Analytic Number Theory, Harmonic Analysis, and Combinatorics, with a focus on intersections between number theory and harmonic analysis, the Hardy-Littlewood circle method, and Diophantine approximation. She earned her Ph.D. in Mathematics from Pennsylvania State University in 2016 under Robert C. Vaughan, followed by postdoctoral roles at the University of Rochester and MSRI. Since joining the University of Mississippi faculty in 2019, she has been recognized with the 2020 ORAU Ralph E. Powe Junior Faculty Enhancement Award. Her research spans global collaborations and presentations at leading institutions like Oberwolfach, the Fields Institute, and the Hausdorff Institute of Mathematics. Dr. Gafni’s work bridges pure mathematics disciplines, with recent publications addressing number field bounds, geometric incidence theory, and partition functions. She actively engages in academic service, teaching courses such as Complex Analysis and Linear Algebra. Her research portfolio reflects a commitment to advancing analytic techniques in number theory through interdisciplinary approaches. Education: Ph.D. in Mathematics, Pennsylvania State University (2016) Awards: ORAU Ralph E. Powe Junior Faculty Enhancement Award (2020) Teaching: Math 263: Unified Calculus & Analytic Geometry III Math 319: Introduction to Linear Algebra Math 459: Introduction to Complex Analysis

• Analytic Number Theory
• Harmonic Analysis
• Combinatorics
• +۳ مورد دیگر

Dr. Hui Xue is an Associate Professor in Clemson University's Department of Mathematical and Statistical Sciences. His research explores profound connections between number theory, modular forms, and L-functions, with special focus on distributional properties of mathematical objects. Xue's investigations frequently address the geometric properties of modular forms and their zeros, with applications to cryptographic systems and arithmetic structures over finite fields. His work establishes new connections between automorphic representations and classical number theory problems. Publications consistently demonstrate innovative approaches to period polynomials and eigenvalue distributions of Hecke operators. Recent advances include novel techniques for analyzing zeros of Eisenstein series and symmetric power L-functions. He mentors undergraduate researchers through Clemson's Number Theory REU program and organizes the SouthEast Regional Meeting On Numbers (SERMON).

• Number Theory
• Modular Forms
• L-functions
• +۱ مورد دیگر

Jeanine Van Order is a Professor in the Department of Mathematics at the Pontifical Catholic University of Rio de Janeiro (PUC-Rio). Her research focuses on number theory, particularly at the intersection of arithmetic geometry and the analytic theory of automorphic forms, with an emphasis on special values of L-functions. She holds a Ph.D. and has been affiliated with institutions such as PUC-Rio, where she currently leads research in these areas. Research interests include foundational questions in number theory, modern approaches to arithmetic geometry, and the application of automorphic forms to L-function studies. Her work bridges theoretical insights with analytical methods, contributing to advancements in algebraic number theory and related fields. No awards or grants are explicitly detailed in the provided text. For further details, her CV is available upon request.

• Number Theory
• Arithmetic Geometry
• Analytic Theory of Automorphic Forms
• +۱ مورد دیگر

Dr. Jesse Kass is an Assistant Professor in the Department of Mathematics at UC Santa Cruz specializing in algebraic geometry. His research focuses on abelian varieties, compactified Jacobians, and arithmetic aspects of curve counting. He maintains strong interest in historical studies of African-Americans in mathematics. His educational background includes extensive work with the Ross Mathematics Program for high school students. Dr. Kass directs seminars on vector bundles and moduli theory while organizing events like the 2019 commemoration of James Solomon's desegregation legacy. Current mathematical research explores extensions of the Torelli map to alternative compactifications and quadratically enriched curve counts. His historical scholarship documents pivotal figures in mathematics desegregation including Joseph Corbin and David Hunter. Advising experience includes doctoral candidates Candace Bethea (2020) and Mohammed Alabbood (2019), with research supported by NSA and Simons Foundation grants. Historical archives curated through the James Solomon Archive document desegregation in mathematics education.

• Algebraic Geometry
• Abelian Varieties
• Compactified Jacobians
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Tewodros Amdeberhan is a Senior Professor of Practice in the Department of Mathematics at Tulane University's School of Science & Engineering. He also holds positions as a Permanent Member of DIMACS/Rutgers University since 2001 and has served as a Visiting Professor at Massachusetts Institute of Technology since 2007 and at Princeton University in 2005. Dr. Amdeberhan earned his Ph.D. in Mathematics from Temple University in Philadelphia in 1997. Prior to this, he completed both his M.S. and B.S. at Addis Ababa University in Ethiopia, with Mathematics as his major and Physics as his minor. Dr. Amdeberhan's research spans multiple areas of pure and applied mathematics. His primary interests include Combinatorics , where he investigates lattice paths, posets, and combinatorial identities; Number Theory , with focus on p-adic valuations, Fibonacci polynomials, and arithmetical properties; and Special Functions , where he has made significant contributions to understanding Ramanujan's master theorem and various integral formulas. His work in Computer Algebra and Algorithmic Proof Theory demonstrates his expertise in developing computational methods for mathematical proofs, while his research in Partial Differential Equations and Harmonic Analysis shows his breadth across mathematical disciplines. Dr. Amdeberhan has been an active participant in the mathematical community, regularly presenting at major conferences including the International Conference on Enumerative Combinatorics and Applications (2025), Algebra and Number Theory Seminars at various universities, and workshops at institutions like Banff International Research Station and MSRI. His research has resulted in numerous publications covering topics from multi-cores and lattice paths to p-adic valuations of special number sequences. As a Permanent Member of DIMACS since 2001, Dr. Amdeberhan has been involved in collaborative research initiatives that bridge theoretical mathematics with practical applications. His work with the Experimental Mathematics group, particularly building on techniques developed by his advisor Doron Zeilberger, has contributed to the advancement of algorithmic proof methods.

• Combinatorics
• Number Theory
• Special Functions
• +۴ مورد دیگر

Angelos Koutsianas is an Assistant Professor in the Department of Mathematics at the School of Science, Aristotle University of Thessaloniki, where he has been employed since November 2021. His office is located in the Main Building of the Faculty of Sciences, 3rd Floor, Room 17, with contact via email akoutsianas@math.auth.gr and phone +302310997916. His academic background includes: Ph.D. in Mathematics from Warwick University (2016) with thesis "Applications of S-unit Equations to the Arithmetic of Elliptic Curves" supervised by Prof. John Cremona B.Sc. in Mathematics from Ethnikon & Kapodistriakon Panepistimion Athinon (2012) Diploma in Electrical and Computer Engineering from National Technical University of Athens (2009) Dr. Koutsianas specializes in the intersection of theoretical and computational mathematics, with core expertise in Arithmetic Geometry and Algebraic Number Theory. His research focuses on algorithmic approaches to classical problems: Elliptic curves and rational points Diophantine equations and modular forms Galois representations Cryptographic applications His recent publications reveal a consistent emphasis on computational methods for solving number-theoretic problems, particularly concerning elliptic curves and Diophantine equations. Key contributions include algorithms for computing elliptic curves over number fields, analysis of Picard curves, and solutions to specialized Diophantine problems using modular techniques. No scientific awards are listed in the provided information. Dr. Koutsianas has held postdoctoral positions at the University of British Columbia, University of Piraeus, and Universitat Ulm. His current research is funded by the Special Account for Research Funds AUTH. No student advisement information is provided. He actively contributes to the academic community as co-organizer of the 3nd Greek Number Theory Meeting (Patras, December 2025) and is a member of the Section of Algebra, Number Theory and Mathematical Logic.

• Arithmetic Geometry
• Computational Algebraic Number Theory
• Elliptic Curves
• +۵ مورد دیگر