جست‌وجوی استاد و پژوهشگر

Pieter van Goorمشاهده پروفایل

پژوهشگر ارشد

• Robotics
• Control Theory
• Equivariant Systems Theory
• +۵ مورد دیگر

Pieter van Goor is a Research Fellow at the Australian National University (ANU), affiliated with the School of Engineering and the Systems Theory and Robotics (STR) group. He holds a PhD in Control Theory (completed 2022) and dual bachelor's degrees (BEng/BSc, 2018). His research focuses on equivariant systems theory, state estimation, and robotics applications. Key contributions include equivariant observer design, Lie group-based control, and geometric data fusion. Education: Bachelor of Engineering (Research & Development) (Honours) in Mechatronics (ANU, 2018) Bachelor of Science in Mathematics (ANU, 2018) PhD in Control Theory (ANU, 2022) Research Interests: Equivariant systems theory, nonlinear control, robotics applications, state estimation on Lie groups, sensor fusion, and geometric control methods. His work emphasizes symmetry exploitation in filter design and observer construction for systems with inherent geometric structures. Grants & Collaborations: Active collaborations include work with Robert Mahony and institutions like the IEEE. Research spans theoretical frameworks (e.g., equivariant filters) and applied systems (e.g., ArduPilot autopilot, event cameras). Labs/Teams: Member of the Systems Theory and Robotics (STR) group at ANU, focusing on advanced control theory and robotics.

Kartik Prasannaمشاهده پروفایل

استاد

• Number Theory
• Automorphic Forms
• Algebraic Cycles
• +۶ مورد دیگر

Kartik Prasanna is a Professor in the Department of Mathematics at the University of Michigan , affiliated with the College of Literature, Science and the Arts . He received his PhD from Princeton University in 2003 under the supervision of Andrew Wiles. Research Interests: His work lies at the intersection of number theory , algebraic cycles , and automorphic forms , focusing on the Langlands program , L-functions , algebraic cycles , and Iwasawa theory , particularly through the lens of the Bloch-Beilinson and Bloch-Kato conjectures . His recent publications explore periods of automorphic forms and the arithmetic of Shimura varieties. Grants & Awards: Simons Fellowship (2014-15) von Neumann Fellowship at the Institute for Advanced Study (2014-15) Current NSF Grants : DMS 2001293 and RTG DMS 1840234 Previous NSF grants: DMS 1600494, DMS 1160720, DMS 1015173, DMS 0801191, DMS 0854900 Academic Contributions: He has advised or collaborated with numerous postdoctoral researchers including Christopher Lyons , Ruochuan Liu , and Cameron Franc . Prasanna organized the 2011 FRG/RTG Workshop on L-functions, Galois Representations and Iwasawa Theory at the University of Michigan.

Daniel M. Kaneمشاهده پروفایل

استاد

• Number Theory
• Combinatorics
• Complexity Theory
• +۳ مورد دیگر

Daniel M. Kane is a Professor at the University of California, San Diego (UCSD), holding a joint appointment in the Department of Mathematics and the Department of Computer Science and Engineering (CSE). His research spans mathematics and theoretical computer science, with a focus on number theory, combinatorics, complexity theory, and computational statistics. He earned a Ph.D. in Mathematics from Harvard University (2011) and dual BS degrees in Mathematics with Computer Science and Physics from MIT (2007). Prior to UCSD, he was a postdoctoral researcher at Stanford University (2011–2014) on an NSF fellowship. His research interests include robust statistics, machine learning, polynomial threshold functions, and algorithmic methods for high-dimensional data. Notable achievements include co-authoring the book Algorithmic High-Dimensional Robust Statistics (Cambridge University Press, 2023) and receiving the Best Paper Award at the Conference on Computational Complexity (2013), as well as gold medals at the International Mathematical Olympiad (2002 and 2003). Current teaching includes courses such as Math 96 (Putnam Seminar), Math 154 (Graph Theory), CSE 101 (Algorithms), and CSE 203A (Randomized Algorithms). He has consulted for companies like CASPER Labs and AIble, and his work extends to cryptographic protocols, including quantum money schemes based on quaternion algebras. Key contributions include breakthroughs in robust mean estimation, list-decodable learning, and the development of efficient algorithms for statistical problems. His research often bridges foundational theory with practical applications in machine learning and data analysis.

• Differential Geometry
• Riemannian Geometry
• Lie Groups
• +۳ مورد دیگر

Megan Kerr serves as the Katharine and Claudine Malone '63 Professor of Mathematics at Wellesley College, where she teaches across the mathematics curriculum from calculus to advanced topics in geometry. Her academic home is within the Mathematics & Statistics Department at this prestigious women's liberal arts college. Her educational journey began as an undergraduate at Wellesley College, where she later returned as faculty, completing a full circle in her academic career. She earned her Ph.D. from the University of Pennsylvania under the supervision of Wolfgang Ziller, with research focused on Homogeneous Einstein Metrics. Professor Kerr's research centers on global differential geometry, particularly exploring the interplay between curvature constraints and large symmetry groups. She specializes in homogeneous and low-cohomogeneity spaces, investigating fundamental questions about the existence of geometric structures, their rarity or commonality, and potential obstructions. Her work bridges the analytic concept of curvature with the algebraic framework of Lie groups, and she has recently expanded into geometric analysis where topology plays a significant role. Analysis of her publication record reveals a consistent focus on homogeneous Einstein metrics across three decades, with particular attention to curvature properties, symmetry constraints, and classification problems in both positive and negative curvature settings. Her research has evolved from foundational work on symmetric spaces to more complex non-symmetric examples and specialized curvature conditions, demonstrating both depth and breadth in differential geometry. Katharine and Claudine Malone '63 Professor of Mathematics Radcliffe Institute Fellowship As an alumna of Wellesley College, Professor Kerr maintains a strong commitment to encouraging women in mathematics. She teaches a diverse range of courses including calculus, linear algebra, combinatorics, real analysis, non-Euclidean geometry, differential geometry, topology, knot theory, and matrix groups as an introduction to Lie groups. Her teaching philosophy emphasizes developing mathematical understanding and confidence that benefits students regardless of their major. Her research has taken her to international destinations including Australia, Germany, and Mexico, reflecting the global nature of her scholarly collaborations.

• Information Theory
• Cryptography
• Lattice Theory
• +۵ مورد دیگر

Cong Ling is a Professor of Information Theory and Cryptography at Imperial College London's Department of Electrical and Electronic Engineering, within the Faculty of Engineering. His research focuses on lattice theory and its applications in coding, cryptography, quantum information, and number theory. Key affiliations include the Academic Centre of Excellence in Cyber Security Research and the Engineering Secure Software Systems group. Education details are not explicitly provided in the text, but his professional experience indicates advanced qualifications in electrical engineering and mathematics. Research interests span lattice-based cryptography, post-quantum security, algebraic coding theory, and quantum-resistant algorithms. His work bridges information theory and number theory, with contributions to MIMO systems, secure communication protocols, and cryptographic protocol design. Recent publications emphasize lattice reduction techniques, quantum algorithms for the shortest vector problem, and advancements in polar codes. Notable trends include exploration of non-commutative algebras for cryptography, Gaussian sampling optimizations, and hybrid quantum-classical approaches to hard integer problems. Over 50+ articles published since 2018 reflect his leadership in lattice-based research and quantum-safe technologies. Awards: None explicitly listed in the text. Grants/Advising: No specific grants or student advisees mentioned; focus remains on collaborative research outputs. Labs/Teams: Associated with Imperial's Cyber Security Research groups and quantum engineering initiatives.

David Rohrlichمشاهده پروفایل

استاد

• Number Theory
• Algebraic Number Theory
• Arithmetic Geometry
• +۳ مورد دیگر

David Rohrlich is a Professor of Mathematics and Statistics at Boston University, serving as Director of Graduate Studies. His primary affiliation is with the Department of Mathematics and Statistics. He specializes in Number Theory, focusing on topics such as Artin representations, arithmetic statistics, and Galois theory. His research explores areas including algebraic number theory, arithmetic geometry, and representation theory. Notable contributions include studies on self-dual Artin representations, quaternionic structures in arithmetic statistics, and the interplay between Galois representations and L-functions. Rohrlich has published extensively on topics such as Mordell-Weil groups, average multiplicities, and dihedral Artin representations. His work often involves intricate connections between algebraic structures and number-theoretic phenomena. He holds a PhD and has advised numerous graduate students (though specific names are not listed here). His office is located in CDS 433, with regular in-person and virtual office hours.

David Savittمشاهده پروفایل

استاد

• Algebraic Number Theory
• Galois Representations
• Modular Forms
• +۳ مورد دیگر

David Savitt is a Professor and Chair of the Department of Mathematics at Johns Hopkins University, affiliated with the Krieger School of Arts & Sciences. His research focuses on algebraic number theory, with emphasis on Galois representations, modular forms, and p-adic Hodge theory. He holds a PhD from Harvard University and has served on the board of directors for Canada/USA Mathcamp, a summer program for high school students. His work spans theoretical contributions to arithmetic geometry, including studies on moduli stacks of Galois representations and geometric aspects of the p-adic Langlands program. Education: PhD in Mathematics from Harvard University. Research interests include the interplay between Galois representations and modular forms, p-adic Hodge theory, and moduli spaces. His recent work explores geometric structures in the Emerton-Gee stack and the Breuil-Mézard conjecture. Over 20 years of research has produced influential papers on topics like Serre weight conjectures and crystalline lifts of Galois representations. Professional contributions include editorial roles for journals and books, such as co-editing p-adic Geometry: Lectures from the 2007 Arizona Winter School . His involvement with Mathcamp highlights his dedication to nurturing young talent in mathematics.

Frank Calegariمشاهده پروفایل

استاد

• Algebraic Number Theory
• Langlands Programme
• Galois Representations
• +۳ مورد دیگر

Frank Calegari is a Professor of Mathematics at the University of Chicago. His primary research interests include algebraic number theory, the Langlands program, Galois representations, and arithmetic geometry. He has made significant contributions to understanding reciprocity laws linking Galois representations to automorphic forms. His work often intersects with cohomology of arithmetic groups, motives, and the arithmetic of periods. Prof. Calegari has advised numerous PhD students, including Maria Stadnik, Shiva Chidambaram, and Eric Stubley. He serves on editorial boards for prestigious journals such as Algebra & Number Theory, Essential Number Theory, and the Annals of Mathematics. He actively participates in academic conferences and programs, including organizing the 2020 Arithmetic of the Langlands Program in Bonn. His research spans modularity theorems for abelian varieties, cohomology of arithmetic groups, and the study of L-functions. Key recent work includes resolving the unbounded denominators conjecture and advancing potential automorphy results over CM fields. Calegari frequently collaborates with leading mathematicians, including George Boxer, Vincent Pilloni, and Yilin Yang. He teaches advanced courses such as Honors Calculus (Math 16100) at the University of Chicago. His expository work includes lecture notes on motives and L-functions, as well as a blog compiling mathematical insights (Persiflage). Calegari’s contributions to number theory have been recognized through his editorial roles and invited lectures at institutions like the ICM and Clay Mathematics Institute.

John Voightمشاهده پروفایل

استاد

• Arithmetic Algebraic Geometry
• Number Theory
• Cryptography
• +۴ مورد دیگر

John Voight is a Professor of Mathematics at the University of Sydney, affiliated with the School of Mathematics and Statistics. He holds a Ph.D. from UC Berkeley (2005) and has held academic positions at the University of Sydney, University of Minnesota, University of Vermont, and Dartmouth College. His research focuses on arithmetic algebraic geometry, number theory, and computational aspects of these fields, including modular forms, elliptic curves, and quaternion algebras. Education: Ph.D. in Mathematics, UC Berkeley (2005); earlier studies include a focus on classical piano and liberal arts at Gonzaga University. Professional trajectory includes postdoctoral roles at the University of Sydney and University of Minnesota, followed by faculty appointments at the University of Vermont (2006–2013) and Dartmouth College (2013–present). Research Interests: Arithmetic algebraic geometry: modular curves, Shimura varieties, moduli spaces, and algorithmic methods Number theory: algebraic number theory, quadratic forms, cryptography, and coding theory Computational mathematics: modular forms, quaternion algebras, and database construction (e.g., LMFDB) Publications and Recognition: Over 90 peer-reviewed articles, including contributions to Contemp. Math. , Math. Comp. , and Res. Number Theory . Recipient of the Selfridge Prize in Number Theory and recognized for teaching excellence at Dartmouth. Leads projects on Hilbert modular forms and paramodular abelian surfaces. Teaching and Mentorship: Emphasizes student-centered learning and the integration of liberal arts with STEM. Advises students on topics ranging from elliptic curves to cryptography. Active in curriculum design and promoting computational tools in mathematics education. Labs/Teams: Collaborates with the L-Functions and Modular Forms Database (LMFDB) project, contributing to computational frameworks for algebraic geometry and number theory.

Tamas Hauselمشاهده پروفایل

استاد

• Algebraic Geometry
• Arithmetic Geometry
• Moduli Spaces
• +۶ مورد دیگر

Tamas Hausel is a Professor at the Institute of Science and Technology Austria (IST Austria) , holding this position since 2016. He previously served as a Professor and Chair of Geometry at École Polytechnique Fédérale de Lausanne (EPFL) from 2012 to 2016, and held academic roles at the University of Oxford, University of Texas at Austin, University of California, Berkeley, and the Institute for Advanced Study, Princeton. PhD in Mathematics (University of Cambridge, 1999) Diploma in Mathematics (Eötvös Loránd University, Budapest, 1995) Research Focus: Hausel's work bridges algebraic geometry, geometric representation theory, and mathematical physics. His research explores moduli spaces in gauge theory, Higgs bundles, hyperkähler geometry, and the geometric Langlands duality. He has led major projects funded by the European Research Council and other prestigious bodies. Scientific Recognition: Hausel has been awarded two ERC Advanced Grants , the Whitehead Prize , and the Alfred Sloan Research Fellowship . He has delivered invited talks at the International Congress of Mathematicians and the International Congress on Mathematical Physics . 2026-2031: ERC Advanced Grant (EUR 2.5M) 2022-2025: FWF Standalone Grant (EUR 378K) 2013-2018: ERC Advanced Grant (EUR 1.3M) 2009-2013: EPSRC First Grant (GBP 414k) 2005-2013: Royal Society University Research Fellowship (GBP 530k) 2006-2010: NSF Standard Grant (USD 242k)

Jürg Kramerمشاهده پروفایل

استاد

• Arakelov Geometry
• Automorphic Forms
• Modular Forms
• +۵ مورد دیگر

Prof. Jürg Kramer is a Professor of Mathematics at Humboldt University of Berlin, affiliated with the Faculty of Mathematics and Natural Sciences and the Institute of Mathematics. His research focuses on Arakelov geometry, automorphic forms (particularly modular forms), and their intersections. Notable contributions include advancements in arithmetic intersection theory with logarithmic singularities and sup-norm bounds for modular forms. He is also deeply engaged in mathematics education, leading initiatives for teacher training and promoting mathematical talent through networks like the Berlin School Mathematics Network. Active in academic service, he served as EMS Education Committee Chair (2017–2022) and President of the German Mathematical Society (2013/14). His work bridges pure mathematics with pedagogical innovation, emphasizing public understanding through popular science publications. Research: Arakelov geometry, modular forms, L-functions, hyperbolic geometry methods Education: Teacher training programs, math talent promotion, textbook authorship Affiliations: Leibniz Institute for Science and Mathematics Education (IPN), EMS, Deutsche Akademie der Technikwissenschaften Key educational contributions include Felix-Klein teacher training programs and co-authoring standards for mathematics teacher education. His publications span advanced mathematical research and accessible expositions on topics like Fermat’s Last Theorem and Riemann Hypothesis.

• Differential Geometry
• Special Holonomy
• Algebraic Topology
• +۵ مورد دیگر

Sebastian Goette is a Professor at the Mathematical Institute of the University of Freiburg, where he serves in the Department of Pure Mathematics. His office is located in Room 339 at Ernst-Zermelo-Straße 1, D-79104 Freiburg, Germany. He teaches courses including Differential Geometry, Algebraic Topology, and Mathematics, with office hours held on Wednesdays from 13:00 to 14:00. Professor Goette's research interests center on differential geometry, with particular focus on special holonomy, G2-manifolds, scalar curvature, and topological invariants. His work bridges pure mathematics with applications in mathematical physics, particularly in areas related to string theory and gauge theory. He employs advanced techniques from algebraic topology, spectral geometry, and Riemannian geometry to investigate the structure of manifolds and their classification. Analysis of his recent publications reveals a strong emphasis on the geometry and topology of 7-manifolds with special holonomy, particularly G2-structures. His research spans both theoretical developments in invariant theory and concrete classification results for specific manifolds. The work often involves sophisticated interactions between analysis, topology, and geometry, with applications to mathematical physics. Professor Goette is actively involved in multiple research collaborations, including the Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics, the Research Training Group Cohomological Methods in Geometry, and the DFG Priority Programme Geometry at infinity, where he leads project 04 on Secondary invariants of foliations. He is scheduled to take a sabbatical in summer 2025.

• Number Theory
• Arithmetic Geometry
• Shimura Varieties
• +۵ مورد دیگر

Eyal Z. Goren is a Professor in the Department of Mathematics and Statistics at McGill University. His research focuses on arithmetic geometry, including studies of Shimura varieties, modular forms, complex multiplication, expander graphs, arithmetic dynamics, and mathematical cryptography. He is affiliated with the Centre Interuniversitaire en Calcul Mathématique Algébrique (CICMA), a Montreal-based group in number theory. Goren’s work bridges pure mathematics and applications in cryptography, with notable contributions to the theory of supersingular elliptic curves and cryptographic hash functions derived from expander graphs. Education : PhD in Mathematics from the Hebrew University of Jerusalem (1996), advised by Ehud De Shalit. Teaching : Teaches advanced courses such as Higher Algebra I/II, Algebra 1/2/3/4, Number Theory, and specialized topics like Unlikely Intersections. Affiliations : Active member of CICMA and the CRM (Centre de Recherches Mathématiques), collaborating on seminars and research initiatives. Research Interests : Goren’s work emphasizes the interplay between number theory and geometry, with recent focus on p-adic dynamics, canonical subgroups, and Faltings heights. His studies on Picard modular forms and Shimura varieties explore geometric structures in positive characteristic and their arithmetic implications. Publications : Over 40 articles in leading journals, including Inventiones Mathematicae , Compositio Mathematica , and Journal für die reine und angewandte Mathematik . His book Lectures on Hilbert Modular Varieties and Modular Forms is a key resource in the field. Grants and Collaboration : Engaged in collaborative projects on expander graphs, post-quantum cryptography, and the geometry of abelian varieties with complex multiplication. His research is supported by grants from the NSERC and other agencies.

Katrin Leschkeمشاهده پروفایل

دانشیار

• Surface Theory
• Integrable Systems
• Discrete Geometry
• +۳ مورد دیگر

Dr. Katrin Leschke is an Associate Professor in Mathematics at the University of Leicester and Deputy Director for Postgraduate Research (PGR) in the College of Science and Engineering. She holds a Royal Society Short Industry Fellowship (2022–2023). Her research focuses on surface theory, integrable systems, and applications of discrete geometry to machine learning, engineering, and chemistry. She has held research positions at TU Berlin, University of Massachusetts Amherst, and University of Augsburg, where she earned her habilitation. She serves as an external examiner at the University of Manchester and participates in committees like European Women in Mathematics and the London Mathematical Society's SLAM committee. Education: Diplom and PhD in Geometry from TU Berlin Habilitation from University of Augsburg Her work bridges pure mathematics with applied fields, emphasizing geometric visualization and collaborations across disciplines. Key research areas include minimal surfaces, Darboux transformations, and non-axisymmetric turbine design optimization. She is affiliated with the Creative Computing Research Group and AIDAM, fostering interdisciplinary innovation. Notable contributions include studies on integrable systems linking CMC surfaces, isothermic surfaces, and constrained Willmore surfaces, alongside applications in engineering fluid dynamics. Awards highlight her industry-academia collaboration excellence.

Tom Verhoeffمشاهده پروفایل

استادیار

• Software Engineering
• Model-Driven Engineering
• Domain-Specific Languages
• +۷ مورد دیگر

Tom Verhoeff is an Assistant Professor at the Faculty of Mathematics and Computing Science of Eindhoven University of Technology (TU/e) , working within the Software Engineering & Technology group. His research focuses on Model-Driven Engineering (MDE) , Domain-Specific Languages (DSLs) , and the intersection of mathematics, computing, and the arts . He teaches courses in data analytics, programming, algorithms, theoretical computer science , and logic . Verhoeff earned both his MSc and PhD in Technical Science (Mathematics and Computer Science) from TU/e. He is actively involved in promoting mathematics and informatics through initiatives like the annual Bridges conference , and serves as board member and treasurer of the Dutch Mathematics Olympiad , as well as chair of the Koos Verhoeff MathArt foundation . He has also held roles as guest lecturer in Lithuania and Finals Director for the ACM International Collegiate Programming Contest . Research Interests: Verhoeff’s work spans Model-Driven Engineering , domain-specific language development , and 3D geometric modeling . His scholarship often explores symmetry, recursion, and mathematical visualization , particularly through computational art and algorithmic puzzles . Recent publications highlight 3D rotation methods , knot theory , and mathematical art using lattice paths and geometric transformations . Scientific Awards: ACM ICPC European Founders Award (2004) IOI Distinguished Service Award (2007) Second Place in the 2022 Wolfram Computational Art Contest Notable Collaborations and Affiliations: He is affiliated with the Esprit Working Group on Asynchronous Circuit Design (ACiD-WG) , WIRE (TUE Mathematics Alumni) , ACM (Senior Member) , CSTA , IEEE Computer Society , and Royal Dutch Mathematical Society (KWG) .