جست‌وجوی استاد و پژوهشگر

Niyazi YÜKÇÜمشاهده پروفایل

استاد

• Atomic and Molecular Physics
• Computational Physics
• Quantum Mechanics
• +۳ مورد دیگر

Prof. Dr. Niyazi YÜKÇÜ is a Professor at Adıyaman University's Department of Physics within the Faculty of Arts and Sciences. He holds a PhD in atomic and molecular physics from Ondokuz Mayıs University (2009) and became a full professor in 2024. His research focuses on quantum mechanics, computational physics, and programming languages like Mathematica. He serves as the Secretary of the Tesla Memorial Society of New York for Turkey since 2012. Educations: B.Sc. Physics, Ondokuz Mayıs University (2001) M.Sc. Physics (2004), PhD in Physics (2009), both from Ondokuz Mayıs University. Research Interests: Atomic basis functions, Fourier transform methods, molecular integrals (overlap, electric/magnetic moments), and theoretical calculations using programming tools. He has published extensively in journals like Canadian Journal of Physics and Chemical Physics Letters . Awards: TÜBİTAK scholarship (2013), poster award at MEST-2012. He has led projects like the TÜBİTAK-funded 'Quantum Mechanical Investigation of Electric and Magnetic Multipole Moment Integrals' (2024–2027). Teaching: Courses include Electromagnetic Theory, Molecular Orbital Theory, and Physics for various disciplines. He has also delivered lectures internationally via Erasmus+ programs.

João Guerraمشاهده پروفایل

دانشیار

• Stochastic Analysis
• Lévy Processes
• Fractional Stochastic Processes
• +۳ مورد دیگر

João Guerra is an Associate Professor at ISEG (University of Lisbon) in the Department of Mathematics, specializing in Financial Analysis and Mathematics. He holds a PhD in Mathematics from the University of Barcelona (2009), as well as degrees in Technological Physics Engineering (IST, 1995) and Applied Mathematics (University of Évora, 1999). His research focuses on stochastic analysis, Lévy processes, and fractional stochastic processes applied to mathematical finance. Education: PhD in Mathematics, University of Barcelona (2009) DEA in Mathematics, Universitat de Barcelona (2003) Master's in Applied Mathematics, University of Évora (2003) Bachelor's in Technological Physics Engineering, Instituto Superior Técnico (1995) Research Interests: Stochastic calculus, Lévy processes, fractional stochastic systems, and their applications in financial modeling. He has published widely in journals like Quantitative Finance , Journal of Computational Finance , and Stochastic Processes and Their Applications . Teaching and Academic Roles: Coordinator of the Master's in Financial Mathematics and PhD in Applied Mathematics for Economics and Management (MAEG) Developed courses on stochastic calculus, differential equations, and financial models Supervised 2 PhD and 19 Master's theses Professional Experience: Assistant Professor at ISEG (2009–2023) Researcher in six international projects, including a current bilateral Portugal-Germany project

• Number Theory
• Algebraic Geometry
• Formalization of Mathematics
• +۳ مورد دیگر

Sander Dahmen is an Associate Professor in the Department of Mathematics at Vrije Universiteit Amsterdam. He is affiliated with the Faculty of Science and actively involved in academic research and teaching. His primary research interests include Number Theory, Algebraic Geometry, and the formalization of mathematical proofs. Dahmen has contributed to foundational work in areas such as Dedekind domains, class groups of global fields, elliptic curves, and Diophantine equations. He has led research projects including the 'Formalizing Diophantine algorithms' (2022–2026) and 'New Diophantine Directions' (2017–2022), focusing on algorithmic and computational aspects. He currently teaches courses such as 'Number Theory' and 'Project Computer Assisted Proofs'. His research has been supported by grants, including the NWO tenure-track grant (2014–2019). His publications span topics like formalizing mathematical structures, elliptic curve computations, and solving complex Diophantine equations. Dahmen also serves as an external member of the exam committee for Boswell-Bèta in Utrecht since 2021. His work bridges foundational mathematics with computational methods, emphasizing rigor through formal proof systems like Coq.

• Number Theory
• Mathematical Analysis
• Combinatorics
• +۱ مورد دیگر

Ian Charles Thompson is a Postdoctoral Fellow at the Department of Mathematical Sciences , University of Copenhagen, located at University Park 5, 2100 Copenhagen Ø. His work focuses on number theory and mathematical analysis, with a recent publication exploring hyperbolicity and Turán inequalities in the context of Jensen polynomials via Wright's circle method. His research interests span advanced mathematical domains including: Number Theory Mathematical Analysis Combinatorics Algebraic Geometry Recent Trends : His 2025 work highlights connections between analytic number theory and polynomial inequalities, advancing understanding of hypergeometric functions and combinatorial structures.

• Verification
• Probabilistic Models
• Infinite-State Systems
• +۲ مورد دیگر

Mahsa Shirmohammadi is a CNRS researcher at Institut de Recherche en Informatique Fondamentale (IRIF) , Université de Paris. Her research focuses on verification, probabilistic models, infinite-state systems, automata theory, and numerical computation. Education : PhD from LSV, ENS de Cachan (France) and ULB (Belgium). Previous Affiliation : Postdoctoral researcher at University of Oxford (UK). Her work addresses stochastic games , timed automata , matrix groups , and algebraic computation . Recent publications analyze strategy complexity, synchronization in decision processes, and parametric algebraic problems. Key collaborators include Stefan Kiefer, Richard Mayr, James Worrell, and Patrick Totzke. Her research has been published in venues like ACM SIGLOG News, ICALP, LICS, and ISSAC. Contact: mahsa@irif.fr , +33 (0)1 57 27 92 29, Office 4017 (Sophie Germain building, Paris).

Fatma Zürnacı Yetişمشاهده پروفایل

پژوهشگر

• Non-polynomial Methods
• Divided Differences
• Generalized Taylor Series
• +۵ مورد دیگر

Fatma Zürnacı Yetiş is a Researcher at the Department of Mathematics Engineering, College of Engineering at Istanbul Technical University. Her research focuses on non-polynomial methods, divided differences, generalized Taylor series, B-spline functions, hypergeometric series, and convergence analysis of numerical schemes for partial differential equations. She has contributed to advancing theoretical frameworks in applied mathematics and numerical analysis. Her work includes studies on operator splitting methods for equations like the Rosenau-Burgers and Benjamin-Bona-Mahony equations, emphasizing convergence and numerical stability. She also explores quantum Bernstein bases and their connections to hypergeometric series, as well as non-polynomial divided differences and their applications in approximation theory. Zürnacı Yetiş has led research projects such as 'New Proofs for Some Hypergeometric Series and Their q-Versions Using Divided Differences' and 'Non-polynomial Divided Differences and Blossoming', funded by Istanbul Technical University. Her contributions span peer-reviewed articles in journals like Mathematical Methods in the Applied Sciences and Filomat.

Bella Tobinمشاهده پروفایل

استادیار

• Number Theory
• Arithmetic Dynamics
• Arithmetic Geometry
• +۷ مورد دیگر

Bella Tobin is an Assistant Professor of Mathematics in the Department of Mathematics at Agnes Scott College, located in Atlanta, Georgia. She is affiliated with the College of Arts and Sciences and actively contributes to both research and undergraduate education in pure mathematics. BSc in Mathematics, University of Vermont MA in Mathematics, University of Hawaii PhD in Mathematics, University of Hawaii (2019) Her primary research interests lie in number theory and arithmetic dynamics , with a focus on post-critically finite maps, dynamical Belyi maps, and the interplay between arithmetic dynamics and arithmetic geometry. She explores deep structural properties of polynomial and rational dynamical systems over number fields and non-archimedean fields, particularly through equidistribution phenomena and algebraic invariants. The recent publications highlight a consistent trend in arithmetic dynamics and modular forms , combining tools from algebraic geometry, Galois theory, and p-adic analysis. Her work often involves collaborative efforts across institutions, focusing on irreducibility, supercongruences, and stochastic aspects of adelic measures. These contributions place her at the intersection of pure number theory and dynamical systems. She has been actively involved in the academic community through speaking engagements and organizing special sessions, including at the AWM Research Symposium and regional number theory conferences. Bella Tobin has held postdoctoral positions at Oklahoma State University (2019–2022) and Oregon State University (2022–2023), working with Paul Fili and Clay Petsche respectively. She continues summer collaborations with Thrive Scholars, indicating ongoing mentorship and outreach. While formal advisees are not listed, her collaborative research suggests strong engagement with junior mathematicians and students. She maintains a research presence through her personal website and arXiv publications, and is committed to inclusive and accessible mathematics education, aiming to make the subject approachable and engaging for all students.

Ali Olgunمشاهده پروفایل

استاد

• Applied Mathematics
• Fractional Calculus
• Numerical Analysis
• +۱ مورد دیگر

Professor Ali Olgun is affiliated with the Faculty of Engineering and Natural Sciences, Department of Mathematics, specializing in Applied Mathematics. His research focuses on fractional calculus, numerical analysis, and approximation theory. Academic Rank: Professor Department: Mathematics School: Engineering and Natural Sciences Research Interests His work bridges theoretical and applied mathematics, particularly in: Fractional differential equations Numerical methods for nonlinear PDEs Convergence properties of linear operators Mathematical modeling in ophthalmic surgery Publications Trend Recent publications emphasize conformable fractional derivatives, novel operator modifications, and clinical efficacy studies in glaucoma treatments. Collaborative Work Active in interdisciplinary research, particularly in mathematical modeling of ophthalmic procedures and approximation theory.

Ivan Cherednikمشاهده پروفایل

استاد

• Representation theory
• Mathematical physics
• Combinatorics
• +۸ مورد دیگر

Ivan Cherednik is a Professor in the Department of Mathematics at the University of North Carolina at Chapel Hill. His research spans multiple disciplines in mathematics and its applications. Representation theory Mathematical physics Combinatorics Number theory Algebraic geometry Low-dimensional topology Mathematical biology Quantitative finance Cherednik's work has been revolutionary in several areas of mathematics. He's known for defining Double Affine Hecke Algebras (DAHA) and proving Macdonald's conjectures in q-combinatorics. His research has produced new theories of hypergeometric functions, DAHA invariants of algebraic knots and links, and new developments in the theory of Rogers-Ramanujan identities. Recent publications show his continued research activity, with work in 2024 on R-matrix quantization of formal loop groups, superpolynomials of algebraic links, and connections between zeta-polynomials, superpolynomials, DAHA, and plane curve singularities. He has also applied his mathematical expertise to real-world problems, particularly in modeling the spread of the COVID-19 virus using Bessel functions and other mathematical approaches.

Andrey Smirnovمشاهده پروفایل

دانشیار

• Enumerative geometry
• Mathematical physics
• Representation theory
• +۵ مورد دیگر

Andrey Smirnov is an Associate Professor of Mathematics at the University of North Carolina at Chapel Hill, where he also holds the distinguished position of William R. Kenan, Jr. Scholar. He is based in the Department of Mathematics within the College of Arts and Sciences, conducting research at the intersection of algebraic geometry, mathematical physics, and representation theory. His research spans several interconnected areas including enumerative geometry , mathematical physics , representation theory , combinatorics , and number theory . A particular focus of his work involves quantum K-theory, mirror symmetry, and integrable systems, where he has made significant contributions to understanding the deep connections between algebraic geometry and quantum physics. His recent publications demonstrate a consistent focus on quantum geometric methods and their applications to enumerative problems . The work prominently features themes of 3D mirror symmetry , quantum difference equations , and stable envelopes , establishing new bridges between algebraic geometry, representation theory, and mathematical physics. These contributions have advanced our understanding of quantum cohomology and K-theory of algebraic varieties. Scientific Honors: William R. Kenan, Jr. Scholar - a prestigious endowed professorship recognizing outstanding contributions to research and scholarship Contact Information: Email: asmirnov@live.unc.edu Office: 307A Phillips Hall, University of North Carolina at Chapel Hill Department: Department of Mathematics, College of Arts and Sciences

Lyonell Boultonمشاهده پروفایل

استاد

• Spectral theory of linear operators
• Mathematical physics
• Functional analysis
• +۷ مورد دیگر

Lyonell Boulton is a Professor at the School of Mathematical and Computer Sciences, Heriot-Watt University, specializing in the spectral theory of linear operators and its applications to mathematical physics and functional analysis. His work bridges theoretical and applied mathematics, with recent contributions to eigenvalue approximation, non-self-adjoint operators, and pseudospectral theory. Research Interests: Spectral theory of self-adjoint and non-self-adjoint operators Applications to mathematical physics (e.g., supermembranes, Schrödinger's equation) Dispersive partial differential equations Numerical linear algebra and eigenvalue computations Recent Publications highlight trends in spectral analysis of Dirac operators, revival effects in dispersive PDEs, and fractal solutions to periodic equations, reflecting his interdisciplinary focus.

Sharon M. Frechetteمشاهده پروفایل

دانشیار

• Number Theory
• Modular Forms
• Algebraic Combinatorics
• +۴ مورد دیگر

Sharon M. Frechette is an Associate Professor in the Department of Mathematics & Computer Science at the College of the Holy Cross, where she teaches across the undergraduate curriculum and develops innovative interdisciplinary seminars. Her educational background includes: Ph.D. in Mathematics from Dartmouth College (1997), thesis: "Decomposition of Spaces of Half-Integral Weight Cusp Forms" under Thomas Shemanske A.M. from Dartmouth College (1994) B.A. from Boston University (1988) with senior thesis advised by Paul Blanchard Frechette's research bridges number theory and combinatorics, with deep investigations into modular forms, L-functions, multiple Dirichlet series, and hypergeometric functions over finite fields. She explores connections between algebraic combinatorics and representation theory, and examines the relationship between elliptic curves and modular forms. Her work often reveals combinatorial structures within analytic number theory problems, particularly through the lens of Hecke operators and their traces. Analysis of her publication timeline (2000-2018) shows evolution from foundational work on half-integral weight modular forms to sophisticated studies of multiple Dirichlet series and finite-field hypergeometric functions, with consistent emphasis on combinatorial interpretations of number-theoretic objects. As an educator, Frechette has created the distinctive Montserrat cryptology sequence combining historical narrative with mathematical rigor, and regularly teaches advanced courses like Modern Algebra and Number Theory. Her commitment to undergraduate research is evident through supervision of senior theses and development of course-based research opportunities.

• Orthogonal Polynomials
• Approximation Theory
• Special Functions
• +۵ مورد دیگر

Dr. Juan José Moreno Balcázar is a Professor in the Mathematics Department at the University of Almería (UAL), Spain. He leads the research group 'Teoría aproximación y polinomios ortogonales' (Approximation Theory and Orthogonal Polynomials) and has served as Principal Investigator for numerous research projects funded by Spanish national and regional agencies from 2002 through 2025. His primary research interests include Orthogonal Polynomials (particularly Sobolev orthogonal polynomials), Approximation Theory, Special Functions, and Asymptotic Analysis. His work spans theoretical developments in q-hypergeometric polynomials, difference equations for orthogonal polynomials, and applications in mathematical physics. He has also contributed to interdisciplinary areas including mathematics education, epidemiological modeling, and gender studies in science. Professor Moreno Balcázar maintains an active publication record with 68 articles, 14 books or book chapters, and 4 theses. His recent work shows continued productivity with publications in 2024, 2023, and 2022 in journals including PHYSICA SCRIPTA, Journal of Approximation Theory, and Results in Mathematics. His research demonstrates strong theoretical foundations with applications across mathematics and related fields. He has supervised multiple doctoral students and maintains collaborations with researchers across Spain and internationally, particularly in Ecuador and Brazil. His work spans both pure mathematical theory and practical applications in education and public health.

• Analytic Number Theory
• Modular Forms
• Theta Functions
• +۴ مورد دیگر

Bruce C. Berndt is the Michio Suzuki Distinguished Research Professor of Mathematics at the University of Illinois at Urbana-Champaign, where he has served since 1967. His affiliations include visiting scholarshi­ps at the Institute for Advanced Study (1973-74) and a foundational role in editing Ramanujan's Notebooks. Berndt's research focuses on analytic number theory, particularly Ramanujan's work on theta functions, modular forms, and q-series. His investigations span partition theory, continued fractions, elliptic functions, and combinatorial identities, often leveraging Ramanujan's unpublished manuscripts to derive new mathematical insights. Recent publications emphasize mock theta functions, Bessel series, and identities in q-series. Berndt's scholarly contributions have been recognized with prestigious awards, including: Steele Prize for Mathematical Exposition (1996) Lester R. Ford Award (1989, 1994) Fellowship in the American Mathematical Society (2012) Honorary doctorate from SASTRA University (2012)