Camelia Alexandra Pop

Assistant Professor

School of Mathematics

University of Minnesota

Office: 221 Vincent Hall

Phone: (612) 625-0397

E-mail:

Mailing Address:

School of Mathematics

127 Vincent Hall

206 Church St. SE

Minneapolis, MN 55455

Research Interests: Stochastic analysis, partial differential equations, mathematical finance, mathematical biology.

Curriculum Vitae: You can download it from here.

Publications:

[1] N. Garofalo, A. Petrosyan, C. A. Pop, and M. Smit Vega Garcia, Regularity of
the free boundary for the obstacle problem for the fractional Laplacian with
drift, Annales de lâ€™Institut Henri Poincare (C) Analyse Non
Lineaire 34 (2017), no. 3, 533-570, (pdf).

[2] C. A. Pop, Existence, uniqueness and the strong Markov property of solutions to Kimura diffusions with singular drift, Transactions of the AMS 367 (217), no. 8, 5543-5579, (pdf)

[3] C. L. Epstein and C. A. Pop, Regularity for the supercritical fractional Laplacian with drift, Journal of Geometric Analysis (2016) 26, 1231-1268 (pdf)

[4] A. Petrosyan and C. A. Pop, Regularity of solutions to the obstacle problem for
the fractional Laplacian with drift, Journal of Functional Analysis 268 (2015), 2, 417-472 (pdf)

[5] P. M. N. Feehan and C. A. Pop, On the martingale problem for degenerate-parabolic partial differential operators with unbounded coefficients and a mimicking theorem for Ito processes, Transactions of the AMS 367 (2015), 11, 7565-7593 (pdf)

[6] P. M. N. Feehan and C. A. Pop, Degenerate-elliptic operators in mathematical
finance and higher-order regularity for solutions to variational equations, Advances in Differential Equations 20 (2015), no. 3-4, 361-432 (pdf)

[7] P. M. N. Feehan and C. A. Pop, Stochastic representation of solutions to degenerate elliptic and parabolic boundary value and obstacle problems with Dirichlet boundary conditions, Transactions of the AMS 367 (2015), no. 2, 981-1031 (pdf)

[8] P. M. N. Feehan and C. A. Pop, Schauder a priori estimates and regularity of solutions to degenerate-elliptic linear second-order partial differential equations, Journal of Differential Equations 256 (2014), 895-956 (pdf)

[9] P. M. N. Feehan and C. A. Pop, A Schauder approach to degenerate-parabolic partial differential equations with unbounded coefficients, Journal of Differential Equations 254 (2013), 4401-4445 (pdf)

To appear:

[10] P. M. N. Feehan and C. A. Pop, Degenerate elliptic operators in mathematical finance and Holder continuity for solutions to variational equations and inequalities, Accepted in Annales de lâ€™Institut Henri Poincare (C) Analyse Non Lineaire, arXiv:1110.5594 (pdf)

[11] C. L. Epstein and C. A. Pop, The Feynman-Kac formula and Harnack
inequalities for degenerate diffusions, Accepted in Annals of Probability, arXiv:1406.4759 (pdf)

[12] C. A. Pop, C^0-estimates and smoothness of solutions to the parabolic equation defined by Kimura opperators, Accepted in Journal of Functional Analysis, arXiv:1406.0742 (pdf)

[13] C. L. Epstein and C. A. Pop, Boundary estimates for a degenerate parabolic equation with partial Dirichlet boundary conditions, Accepted in Journal of Geometrical Analysis, arXiv:1608.02044 (pdf)

Submitted:

[14] C. L. Epstein and C. A. Pop, Transition probabilities for degenerate diffusions arising in population genetics, arXiv:1608.02119 (pdf)

[15] D. Danielli, A. Petrosyan, C. A. Pop, Obstacle problems for nonlocal operators. (pdf)

Teaching Experience:

At University of Minnesota:

Fall 2016,2017: FM 5011 - Mathematical Background for Finance I

Spring 2017: Math 5651 - Basic Theory of Probability and Statistics

At University of Pennsylvania:

Spring 2015: Math 361

Fall 2014: Math 170 and Math 360

Spring 2014: Math 170 and Math 240

Fall 2013: Math 104

Spring 2013: Math 104

Fall 2012: Math 104 and Math 530

At Rutgers University:

Summer 2012: Probability Theory

Spring 2011: Mathematical Finance II

Fall 2010: Mathematical Finance I

Summer 2010: Probability Theory

Spring 2010: Mathematical Finance II

Fall 2009: Mathematical Finance I

Summer 2009: Algebra

Spring 2009: Calculus II Math/Physics

Fall 2008: Calculus I