Zoran Grujic

Zoran Grujic

Unit: College of Arts and Sciences
Department: Department of Mathematics
Office location and address
331 Kerchof Hall
141 Cabell Dr
Charlottesville, Virginia 22904
Toward criticality of the Navier-Stokes regularity problem
Source: U.S. National Science Foundation (NSF)
July 01, 2020 – June 30, 2023
AS-MATH Turbulent cascades and dissipation in the 3D Navier-Stokes model
Source: U.S. National Science Foundation (NSF)
September 01, 2015 – March 31, 2019
AS-MATH Nonlinear PDE in Spaces of Analytic Functions
Source: University of Bergen
January 01, 2012 – December 31, 2015
AS-MATH Turbulent Cascades and Regularity Theory in Physical Scales of 3D Incompressible Fluid Flows
Source: U.S. NSF - Directorate Math. & Physical Sciences
September 01, 2012 – August 31, 2015
Analysis, Control and Inverse Theory of Fluids, Waves, Materials Structures, and Their Interactions
Source: U.S. DOD - Air Force - Afosr
July 01, 2012 – June 30, 2015
AS-MATH Zachary Bradshaw VSGC Fellowship 2012-13
Source: Virginia Space Grant Consortium
June 01, 2012 – May 31, 2014
MATH 3100: Introduction to Probability
Credits: 3
Introduces fundamental ideas of probability, the theory of randomness. Focuses on problem solving and understanding key theoretical ideas. Topics include sample spaces, counting, random variables, classical distributions, expectation, Chebyshev's inequality, independence, central limit theorem, conditional probability, generating functions, joint distributions. Prerequisite: MATH 1320 or equivalent. Strongly recommended: MATH 2310
MATH 3250: Ordinary Differential Equations
Credits: 4
Introduces the methods, theory, and applications of differential equations. Includes first-order, second and higher-order linear equations, series solutions, linear systems of first-order differential equations, and the associated matrix theory. May include numerical methods, non-linear systems, boundary value problems, and additional applications. Prerequisite: MATH 1320 or its equivalent.
MATH 3310: Basic Real Analysis
Credits: 3
A rigorous development of the properties of the real numbers and the ideas of calculus including theorems on limits, continuity, differentiability, convergence of infinite series, and the construction of the Riemann integral. Students without prior experience constructing rigorous proofs are encouraged to take Math 3000 before or concurrently with Math 3310. Prerequisite: MATH 1320.
MATH 4220: Partial Differential Equations and Applied Mathematics
Credits: 3
This course is a beginning course in partial differential equations/Fourier analysis/special functions (such as spherical harmonics and Bessel functions). The discussion of partial differential equations will include the Laplace and Poisson equations and the heat and wave equations. Prerequisites: MATH 3250 and either MATH 3351 or MATH 4210.
MATH 4993: Independent Study
Credits: 1–3
Reading and study programs in areas of interest to individual students. For third- and fourth-years interested in topics not covered in regular courses. Students must obtain a faculty advisor to approve and direct the program.
MATH 7340: Complex Analysis I
Credits: 3
Studies the fundamental theorems of analytic function theory.
MATH 8999: Non-Topical Research
Credits: 1–12
For master's thesis, taken under the supervision of a thesis director.
MATH 9250: Harmonic Analysis and PDEs
Credits: 3
Harmonic Analysis and PDEs seminar
MATH 9998: Non-Topical Research, Preparation for Doctoral Research
Credits: 1–12
For doctoral research, taken before a dissertation director has been selected.
MATH 9999: Non-Topical Research
Credits: 1–12
The Mathematics Colloquium is held weekly, the sessions being devoted to research activities of students and faculty members, and to reports by visiting mathematicians on current work of interest. For doctoral dissertation, taken under the supervision of a dissertation director.