Adrian Vajiac

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.