Algebraic Geometry:   Use of category theory to prove Amitsur’s conjecture
Algebra:  Topology of spectra of nil-clean rings

Math 1P01 Calculus Concepts I

Math 1P02 Calculus Concepts II

Math 1P05 Applied Calculus I

Math 1P12 Linear Algebra I

Math 1P20 Introduction to Mathematics

Math 1P66 Mathematical Reasoning

Math 1P67 Mathematics for Computer Science

Math 2P03 Multivariable and Vector Calculus

Math 2P04 Basic Concepts of Analysis

Math 2P08 Ordinary Differential Equations

Math 2P12 Linear Algebra II

Math 2P13 Abstract Linear Algebra

Math 2P90 Euclidean and non-Euclidean Geometries I

Math 2P91 Discrete Optimization

Math 2P92 Introduction to Combinatorics

Math 3P08 Advanced Differential Equations

Math 3P60 Numerical Methods

Math 3P97 Introductory Topology

Math 4P11 Topics in Groups

Math 4P23 Great Moments in Mathematics II

Math 4P71 Combinatorics

Math 4P90 Euclidean and non-Euclidean Geometries II

1. (11 authors) The minimal model program for b-log canonical divisors and applications,Mathematische Zeitschrift (2023)

2. Existence of Terminal Resolutions of Geometric Brauer Pairs in arbitrary dimension,Journal of Algebra, 371 (2012), 653 – 664arXiv:1101.0868v1[math AG] 5 January 2011

3. Terminal Resolutions of Brauer Pairs, PhD thesis,University of New Brunswick (Dept. of Mathematics), May 2010.

4. Geometry of the Contact Connected Sum, Master’s thesis, The Pennsylvania StateUniversity (Dept.of Mathematics), August 2000.

5. A Sensitivity Study on the Use of Adjoint Transport Theory to DetermineNeutron Fluence at Reactor Pressure Vessel., Master’s thesis, The PennsylvaniaState University (Dept. of Nuclear Engineering), May 1992.

6. (with A. Haghighat)Comparison of the Different Neutron Spectra Used for theReactor Pressure Vessel Fluence Estimation, Trans. Am. Nucl. Soc., 65, 435-437 (1992)

7. (with A. Haghighat and J.V. Livingston) Application of the Adjoint-functionMethodology for Neutron Fluence Determination,Trans. Am. Nucl. Soc., 63, 419-420 (1991)

8. (with A. Haghighat, J.V. Livingston, M. Hahgerefteh and J. Luoma) Evaluation of theSource Spectrum Effect on the Calculated RPV Fluence, Presented at the ANS Annualmeeting, June 1992.

Workshop on Mori program for Brauer log pairs in dimension three; American Institute of Mathematics, Palo Alto, California, July 2014

Existence of terminal resolutions of Brauer pairs

–Limits and colimits: the category theoretical viewpoint – May 2025

–Co-induced modules and their cohomology: Shapiro’s lemma – December 2, 2024

–Quaternion algebras and the Frobenius theorem (Part 2) – August 22, 2024

–Quaternion algebras and the Frobenius theorem (Part 1) – July 25, 2024

–The Brauer group – February 2024

–Crossed product algebras and Galois cohomology – May 19, 2023

–Category theory: Yoneda’s lemma – February 16, 2023

–Boolean rings, lattices and a theorem of Marshall Stone – November 9, 2022

–The Noetherian Condition – March 8, 2022

–Galois Descent and Hilbert’s Theorem 90 – March 4, 2020

–Hilbert’s Nullstellensatz – Fall 2019

–Theory of Schemes – October 2, 2019

–Rings and their spectra – September 18, 2019