جستجوی استاد راهنمای دانشگاهی

Jonathan Lee Merzelمشاهده پروفایل

استاد

• Valuation Theory
• Ordered Fields and Quadratic Forms
• Ducci Sequences
• +۳ مورد دیگر

Jonathan Lee Merzel is a Professor of Mathematics and Undergraduate Director of the Science and Mathematics Program at Soka University of America since 2000. Previously, he held academic positions at Holy Names College (now Holy Names University) and Mills College. He earned his PhD, MA, and BS from the University of California, Berkeley, and the University of Maryland, respectively. His research focuses on Valuation Theory, Ordered Fields, Quadratic Forms, and Ducci Sequences. Notable collaborations include work with Ron Brown on Ducci sequences and real places in algebraic function fields. He has contributed to journals such as Journal of Algebra , Homology, Homotopy and Applications , and Fibonacci Quarterly . Education: PhD (UC Berkeley), MA (UC Berkeley), BS (University of Maryland) Courses Taught: Liberal Arts Mathematics, Calculus I, Probability and Statistics, Linear Algebra Awards: Faculty Mentor Award (1988) Outside academia, Merzel enjoys bridge, skiing, biking with family, and practicing Chen Man Ching Style Tai Chi Chuan under teacher Lenzie Williams. He resides in Mission Viejo with his family.

Florian Breuerمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Geometry
• Elliptic curves
• +۶ مورد دیگر

Florian Breuer is a Professor of Mathematics at the University of Newcastle , Australia, affiliated with the School of Information and Physical Sciences . He was on sabbatical at the University of Heidelberg, Germany (July–December 2024) and is a member of CARMA (Priority Research Centre in Computer-Assisted Research Mathematics and its Applications). His research focuses on Number Theory , particularly Arithmetic Geometry , Elliptic curves , Drinfeld modules , and Drinfeld modular forms . He also explores quadratic number fields and Cohen-Lenstra-Martinet heuristics . He serves on the editorial boards of the Journal of Number Theory and Quaestiones Mathematicae . His work often intersects with cryptography, as seen in projects like SeCritMass , a threshold secret petition protocol. His research interests also include Ducci sequences and orders of elements in finite fields . Recent trends in his publications emphasize modular polynomials , heights in algebraic geometry , and Drinfeld modular forms of arbitrary rank . Collaborations with mathematicians like Fabien Pazuki and Dirk Basson highlight his contributions to arithmetic geometry and modular forms. Breuer’s work bridges theoretical number theory with computational methods, evident in his GitHub repository for OEIS sequence A130229 analysis. His research often addresses foundational questions in algebraic structures and their applications in cryptography and computational mathematics.

Florian Breuerمشاهده پروفایل

استاد

• Number Theory
• Algebraic and Differential Geometry
• Elliptic Curves
• +۷ مورد دیگر

Professor Florian Breuer is a mathematician at the University of Newcastle , Australia, affiliated with the Priority Research Centre for Computer-Assisted Research Mathematics and its Applications (CARMA) and the School of Information and Physical Sciences . PhD in Mathematics (2002) from Université Denis Diderot, Paris 7 D.E.A. (Masters) in Mathematics (1999) from Université Pierre et Marie Curie, Paris 6 His research focuses on Number Theory , particularly Elliptic Curves , Drinfeld Modules , and Drinfeld Modular Forms . He explores the interplay between number fields and function fields, with applications to Cryptography and Post-Quantum Cryptography . His work also spans Ducci Sequences and Finite Field Arithmetic . Recent publications highlight his contributions to modular polynomial coefficients, Drinfeld modular forms in higher rank, and the arithmetic of real quadratic fields. His research bridges abstract mathematical structures with practical cryptographic applications, emphasizing long-term technological impact. Scientific Awards Meiring-Naude Medal (2008, The Royal Society of South Africa) Alexander-von-Humboldt Fellowships (2009, 2019, 2024) Grants 2025: Bloom AI grant for tutoring platform refinement 2024: Alexander-von-Humboldt research stay 2023: AI for psychological well-being grant He actively supervises PhD and Masters students in topics like Drinfeld A-modules and modular forms. As director of CARMA, he fosters collaborative mathematical research and organizes international conferences, including the 2020 online Number Theory conference.

Marc Chamberlandمشاهده پروفایل

استاد

• Differential Equations
• Number Theory
• Classical Analysis
• +۳ مورد دیگر

Marc Chamberland is a Professor and the Department Chair of Mathematics and Statistics at Grinnell College. He holds the endowed Myra Steele Professorship in Natural Sciences and Mathematics. He received his B.M., M.M., and Ph.D. degrees from the University of Waterloo. His research spans differential equations, number theory, classical analysis, experimental mathematics, discrete dynamics, and combinatorics. Specific interests include the 3x+1 problem, Ducci sequences, the Jacobian Conjecture, and combinatorial identities. With NSF grant support, he has developed materials to integrate computer discovery into mathematics education. Awards: Myra Steele Professor of Natural Sciences and Mathematics (endowed chair) He mentors students in research and collaborates widely, with over 50 publications and 20 co-authors.