جست‌وجوی استاد و پژوهشگر

Scott Kaschnerمشاهده پروفایل

استادیار

• Complex Dynamics
• Julia Sets
• Rational Maps
• +۱۱ مورد دیگر

Scott Kaschner is an Assistant Professor in the Department of Mathematics and Actuarial Science at Butler University, College of Liberal Arts and Sciences. His work bridges pure mathematics, applied mathematical biology, and mathematics education. He is actively engaged in research and undergraduate teaching, with a diverse portfolio of scholarly output. Education: Ph.D. in Mathematics, Department of Mathematical Sciences, IUPUI, 2013 M.S. in Theoretical Mathematics, University of Akron, 2008 B.S. in Theoretical Mathematics, University of Akron, 2003 His research interests span Complex Dynamics , particularly Julia sets, rational maps, and bicomplex analysis; Mathematical Virology , including modeling of coronavirus and respiratory syncytial virus (RSV) replication; and Mathematics Education , with focus on student success in introductory courses, assessment design, and interdisciplinary co-teaching. His work reflects a strong interdisciplinary approach, combining deep mathematical theory with real-world applications in biology and pedagogy. The 15 most recent publications reveal a consistent trajectory across three domains: foundational work in complex dynamics and operator theory, applied modeling in virology, and scholarship of teaching and learning in mathematics. The keywords and sub-fields reflect a sophisticated blend of pure and applied mathematics, with increasing engagement in biological modeling and educational research. Scientific Awards: No awards explicitly mentioned in the text. Scott Kaschner has advised or collaborated with numerous students and researchers, particularly evident in his co-authored papers in virology and mathematics education. His involvement in the NSF GK-12 program as a fellow indicates a long-standing commitment to STEM outreach and pedagogical development. He has secured research support through collaborative grants, especially in virology and education. He co-authored an open textbook on linear transformations, contributing to accessible educational resources. He is involved in interdisciplinary research teams, particularly in virology (with Christopher Stobart and others) and mathematics education (with Aubrey Neihaus and others). His work on virus modeling suggests collaboration with biologists, and his educational research involves partnerships across disciplines. These teams reflect a commitment to collaborative, cross-cutting scholarship.

William Blairمشاهده پروفایل

استادیار

• Complex Function Theory
• Complex Boundary Value Problems
• Mathematical Analysis
• +۳ مورد دیگر

William Blair is an Assistant Professor in the Department of Mathematics at The University of Texas at Tyler. His research focuses on complex function theory and complex boundary value problems, with recent work emphasizing generalizations of Hardy spaces and solutions to higher-order Vekua equations. Blair holds a Ph.D. in Mathematics from the University of Arkansas (2024), where his dissertation explored extensions of Hardy spaces under the advisement of Dr. Andrew Raich. Education: Ph.D., Mathematics, University of Arkansas, 2024 M.S., Mathematics, University of Arkansas, 2020 B.S., Mathematics, Henderson State University, 2017 A.S., National Park Community College, 2014 Research interests include advanced topics in complex analysis such as boundary value problems, Hardy spaces, and applications to functional and harmonic analysis. His recent articles explore atomic representations of bicomplex Hardy classes, meta-analytic functions, and solutions to equations like the Seiberg-Witten vortex equations. Blair’s work bridges foundational mathematical theory with applied analytical techniques. No scientific awards are listed. Advising and grants details are not provided in available records. Blair maintains an active research program with a focus on theoretical contributions to complex analysis.

Daniel Alpayمشاهده پروفایل

استاد

• Schur Analysis
• Slice-Hyperholomorphic Functions
• Signal Processing
• +۲۳ مورد دیگر

Dr. Daniel Alpay is a Professor and holder of the Foster G. and Mary McGaw Professorship in Mathematical Sciences at Chapman University. He is affiliated with both Schmid College of Science and Technology and Fowler School of Engineering, contributing to mathematical research and its applications in electrical engineering. His expertise spans Schur Analysis, Slice-Hyperholomorphic Functions, Signal Processing, Linear Systems, Wavelet Filters, and White Noise Space. Dr. Alpay earned his PhD and MSc in Theoretical Mathematics from the Weizmann Institute of Science (Israel) under Prof. Harry Dym (1986, 1980-1986) and an Electrical Engineering degree from École Nationale Supérieure des Télécommunications (France, 1975-1978). His research focuses on infinite-dimensional analysis, hypercomplex structures, and interdisciplinary applications in signal processing and electrical engineering. His recent publications (2024) demonstrate a strong emphasis on Schur Analysis, hyperholomorphic functions, and their applications in stochastic processes, interpolation theory, and superoscillations. These works bridge pure mathematics with engineering, particularly in wavelet filters and linear systems. Dr. Alpay serves as Editor-in-Chief for the journal Complex Analysis and Operator Theory , reflecting his leadership in advancing mathematical research. His work continues to explore connections between abstract mathematical theories and practical engineering problems.

Daniele Struppaمشاهده پروفایل

استاد

• Fourier Analysis
• Algebraic Microlocal Analysis
• Signal Processing
• +۷ مورد دیگر

Daniele C. Struppa is a Professor and the President of Chapman University, holding the Donald Bren Presidential Chair in Mathematics. He earned his Laurea in Mathematics from the University of Milan (1977) and a Ph.D. in Mathematics from the University of Maryland, College Park (1981). His academic leadership roles include Provost (2006), Chancellor (2007-2016), and President (2016-present) at Chapman University. Research Interests: Fourier analysis, algebraic analysis of differential equations, signal processing, pattern recognition, superoscillations, and applications in bioinformatics and proteomics of cancerous cells. Publications: Authored over 200 refereed articles and co-edited ten books, including works on bicomplex functions and hyperholomorphic calculus. Scientific Awards: Bartolozzi Prize (1981), Matsumae Medal (1987), Cozzarelli Prize (2017). Recent Work Trends: Focus on superoscillations and supershifts in mathematics and quantum mechanics, with applications in machine learning, environmental monitoring, and biomedical research. His interdisciplinary collaborations span signal processing, quantum physics, and data science. Leadership: Former Dean at George Mason University, Director at the Center for Applications of Mathematics, and Chair of Mathematical Sciences. Honors: The BIO-IT Coalition established the Professor Daniele Struppa Award (2006) for high school educators in STEM.

Filippo Maggioliمشاهده پروفایل

پژوهشگر

• Computer Graphics
• Geometry Processing
• Numerical Simulations
• +۳ مورد دیگر

Filippo Maggioli is a Postdoctoral Researcher at the University of Milano-Bicocca and an Adjunct Professor at Pegaso University. He completed his Ph.D. in Computer Science at Sapienza University of Rome, where he also served as a teaching assistant and postdoctoral researcher. His research focuses on interdisciplinary topics in Computer Graphics, Geometry Processing, and Numerical Simulations, with a strong emphasis on scalable algorithms and real-world applications. He has contributed to projects involving plant wilting simulation, shape correspondence, and procedural texturing. Maggioli advocates for open-source software and has published extensively in top-tier conferences such as ECCV. His teaching roles include courses on Computer Architecture and Networking at Pegaso University. Education: Ph.D. in Computer Science, Sapienza University of Rome (2019–2023) M.Sc. in Computer Science, Sapienza University of Rome (2018–2019) B.Sc. in Computer Science, Sapienza University of Rome (2014–2017) Research Interests: Maggioli’s work bridges computational geometry, numerical methods, and interdisciplinary applications. He explores topics such as functional maps for shape correspondence, physically-based simulation of natural phenomena, and GPU-optimized algorithms. His projects often integrate machine learning and procedural content generation to address challenges in 3D modeling and real-time applications. Awards & Contributions: Maggioli is a proponent of open-source software and has contributed to projects like SBML2Modelica. His research has led to impactful publications in areas like scalable geometry processing and fluid dynamics simulation.

Adrian Vajiacمشاهده پروفایل

دانشیار

• Complex and Hypercomplex Analysis
• Clifford Analysis
• Computational Algebra and PDEs
• +۳ مورد دیگر

Dr. Adrian Vajiac is Associate Professor of Mathematics and Program Director for the Faculty of Mathematics at Chapman University’s Schmid College of Science and Technology. His office is located in the Keck Center for Science and Engineering, and he can be reached at avajiac@chapman.edu . Education Bachelor of Science, University of Bucharest Ph.D., Boston University Research Interests Dr. Vajiac’s scholarly work lies at the intersection of pure and applied mathematics, with a strong emphasis on hypercomplex and Clifford analysis. He explores: Complex and Hypercomplex Analysis: classical theory and modern extensions to several complex variables. Clifford Analysis & Quaternionic Analysis: Dirac operators, quaternionic regularity, and slice monogenic functions. Computational Algebraic Methods for PDEs: applying algebraic techniques to study Cauchy-Fueter, Maxwell, and Proca systems. Equivariant Localization in Topological Quantum Field Theory: Mathai–Quillen formalism and Seiberg–Witten invariants. Foundations of Geometry: Hilbertian axiomatic approaches to Euclidean and non-Euclidean geometries. Mathematics and Physics Education: integrating modern research into undergraduate curricula and teacher training. Recent Scholarly Output Between 2016 and 2023, Dr. Vajiac has co-authored influential works that advance quaternionic and bicomplex analysis, introduce new algebraic-geometric structures termed “script geometry,” and derive Bernstein-type inequalities in multicomplex settings. These publications collectively deepen the theoretical foundations of hypercomplex function theory and open avenues for applications in quantum theories and geometric modeling. Scientific Awards No specific awards or honors are listed in the provided materials. Advising & Grants No explicit lists of students or funded grants are provided in the text. Laboratories & Teams While no dedicated laboratory is mentioned, Dr. Vajiac is affiliated with the Mathematics group within Schmid College of Science and Technology and serves as Program Director for the Faculty of Mathematics, indicating leadership in curricular and scholarly initiatives.

Mihaela Vajiacمشاهده پروفایل

استاد

• Complex Analysis
• Hypercomplex Analysis
• Differential Geometry
• +۳ مورد دیگر

Mihaela Vajiac is a Professor and Program Director for Mathematics at Chapman University's Schmid College of Science and Technology. She serves as Director of the Center of Excellence in Complex and Hypercomplex Analysis (CECHA) and organizes the Math/Physics/Computation Seminar. Her educational background includes a Ph.D. from Boston University and a B.S. from the University of Bucharest. Dr. Vajiac's research spans: Complex/Hypercomplex Analysis : Investigating Dirac-type operators, quaternionic systems, and applications in physics and engineering. Algebraic Computational Methods : Developing algebraic tools for PDEs including Maxwell and Cauchy-Fueter systems. Differential Geometry : Exploring integrable systems, curvature invariants, and symplectic structures. Her recent publications focus on bicomplex tensor products, spectral factorization in hypercomplex spaces, and geometric invariants, reflecting sustained innovation in operator theory and Clifford analysis. She co-organizes international workshops like IWOTA 2021 and maintains active collaborations with global researchers.