"We must know, we will know!"
David Hilbert

Mihaela B. Vajiac Program Director of Mathematics Director of CECHA Associate Professor of Mathematics Chapman University Schmid College of Science and Technology One University Drive Orange, CA 92866 Phone: (714) 997-6820 Fax: (714) 628-7340

Teaching - Fall 2022: Math 210-03 Multivariable Calculus Multivariable Calculus MW 2:30-3:45pm (Math 210 Section 03)

Office Hours - Fall 2022: Mon Tue Wed Thu Fri 1-2pm, KC365 none 4-5pm, KC365 none 7-7:30am, Zoom Also: By appointment

Co-organizing the Analysis and Geometry Seminar with Dr. Kamal Diki and Dr. Mario Stipcic

• AGS Webpage

Co-organized the International Workshop of Operator Theory and Applications, IWOTA 2021, at Chapman University

• IWOTA 2021

Co-organizer of the 2022 Workshop, at Chapman University

• 2022 Workshop

Research Interests:

• Complex and Hypercomplex Analysis
  Complex Analysis is a classical branch of mathematics, having its roots in late 18th and early 19th centuries, which investigates functions of one and several complex variables. It has applications in many branches of mathematics, including Number Theory and Applied Mathematics, as well as in physics, including Hydrodynamics, Thermodynamics, Electrical Engineering, and Quantum Physics. Clifford Analysis is the study of Dirac and Dirac type operators in Analysis and Geometry, together with their applications. In 3 and 4 dimensions Clifford Analysis is referred to as Quaternionic Analysis. Furthermore, methods and tools of Clifford Analysis are extended to the field of Hypercomplex Analysis.
  Selected Publications:
  1. "Gleason's problem associated to a real ternary algebra and applications", D. Alpay, A. Vajiac, M.B. Vajiac, Adv. Appl. Clifford Algebras, April 2018 28: 43.
  2. "Bernstein-type Inequalities for Bicomplex Polynomials", I. Sabadini, A. Vajiac, M.B. Vajiac, Advances in Complex Analysis and Operator Theory, Trends in Math., Birkhauser Basel, ISBN: 978-3-319-62361-0, (2017).
  3. "A Zeta Function for Multicomplex Algebra", A. Sebbar, D.C. Struppa, A. Vajiac, M.B. Vajiac, arXiv: 1601.04785, (2016).
  4. "Differential Equations in Multicomplex Spaces", D.C. Struppa, A. Vajiac, M.B. Vajiac, Hypercomplex Analysis: New Perspectives and Applications, Trends in Math., Springer Int. Publ., pp.213-227, (2014).
  5. "Holomorphy in Multicomplex Spaces", D.C. Struppa, A. Vajiac, M.B. Vajiac, Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations, Volume 221, ISBN 9783034802970, p. 617-634, Springer (2012).
  6. "Hyperbolic Numbers and their Functions", M. Shapiro, D.C Struppa, A. Vajiac, M.B. Vajiac, Analele Universitatii Oradea, Fasc. Matematica, Tom XIX, Issue No. 1, p. 265-283, (2012).
  7. "The Cauchy-Kowalewski product for bicomplex holomorphic functions", H. De Bie, D.C. Struppa, A. Vajiac, M.B. Vajiac, Mathematische Nachrichten, Volume 285, Issue 10, p. 1230-1242, July (2012).
  8. "Multicomplex hyperfunctions", A. Vajiac, M.B. Vajiac, Complex Variables and Elliptic Equations, Volume 57, Issue 7-8, p. 751-762, (2012).
  9. "Bicomplex hyperfunctions", F. Colombo, I. Sabadini, D.C. Struppa, A. Vajiac, M.B. Vajiac, Ann. Mat. Pura Appl. (4) 190, no.2, pg. 247-261, (2011).
  10. "Remarks on Holomorphicity in three settings: Complex, Quaternionic, and Bicomplex", D.C. Struppa, A. Vajiac, M.B. Vajiac, Hypercomplex Analysis and Applications, Trends in Mathematics, pg. 261-274, Birkauser Verlag Basel/Switzerland (2011).
• Operator Theory and Hypercomplex Analysis
  In recent years, I have also looked towards applications of hypercomplex analysis in operator theory
  Publications:
  1. "Gleason's problem associated to a real ternary algebra and applications", D. Alpay, A. Vajiac, M.B. Vajiac, Adv. Appl. Clifford Algebras, April 2018 28: 43.
  2. "The S-spectrum for some classes of matrices", M.B. Vajiac, Advances in Hypercomplex Analysis Springer INdAM Series Volume 1, 2013, pp 125-139.
• Differential Geometry and Integrable Systems
  Selected Publications:
  1. "Estimates of B.-Y. Chen's $\hat{\delta}$-Invariant in Terms of Casorati Curvature and Mean Curvature for Convex Euclidean Hypersurfaces" B. D. Suceava, M. B. Vajiac, International Electronic Journal of Geometry, vol.12, No. 1 (2019)
  2. "Virasoro Actions and Harmonic Maps", K. Uhlenbeck, M. Vajiac Journal of Differential Geometry p. 327-341, Volume 8, number 2, October 2008
  3. "Remarks on the Curvature of Totally Umbillical Submanidfolds In Riemannian Spaces ", B. Suceava,M. Vajiac in The Annals of the Al.I.Cuza University, Iasi, Tomul IV, 2008 f.1