### Selected Research Presentations

- Introduction to Machine Learning, USNA Basic Notions Seminar, 26 APR 2018. PDF
- Ten Points on a Cubic, MathFest, Washington, DC, 7 AUG 2015. PDF Pic
- Motivating Intersection Theory via Enumerative Geometry, James Madison University, Harrisonburg, VA, 27 APR 2015. PDF
- Geometry: Old and New, MD-DC-VA Section Meeting of the Mathematical Association of America, Roanoke College, Roanoke, VA, 25 APR 2015. PDF
- 10 points on a cubic curve, Commutative Algebra meets Alebraic Combinatorics, Queen's University, Kingston, ON, Canada, 25 JAN 2015. PDF
- Geometry: Old and New, St. Mary's College of Maryland Natural Science and Mathematics Colloquium, 21 OCT 2014. PDF
- Undergraduate Research at USNA: Making Research Projects Work for YOU, MAA MathFest, 10 AUG 2014. PDF
- The Heinz Problem, Commutative Algebra meets Algebraic Combinatorics, Dalhousie University, 24 JAN 2014. PDF
- The Enumerative Geometry of Hyperplane Arrangements, Algebraic Geometry Seminar, University of Nebraska at Lincoln, 06 DEC 2013. PDF
- From Pappus to Cayley, and Bach(arach), Basic Notions Seminar, USNA, 23 OCT 2013. PDF
- Overview of Compressed Sensing, Compressed Sensing Seminar, USNA, 17 OCT 2013. PDF
- Enumerative Geometry of Hyperplane Arrangements, CAGE Seminar, Drexel University and the University of Pennsylvania, 08 OCT 2013. PDF
- Generalizing Pascal's Theorem, Bi-College Colloquium, Haverford College and Bryn Mawr College, 07 OCT 2013. PDF
- Differential Operators and Invariant Theory, SIAM Conference on Algebraic Geometry, Colorado State University, 04 AUG 2013. PDF
- Generalizing Pascal’s Mystic Hexagon Theorem, Math Department Colloquium, Dalhousie University, RTG Workshop on Tensor Geometry, U.C. Berkeley, 18 APR 2013. PDF
- From Pascal’s Mystic Hexagon Theorem to Secant Varieties, Commutative Algebra Seminar, The University of Michigan, 14 MAR 2013.
- From Pascal’s Mystic Hexagon Theorem to Secant Varieties, RTG Workshop on Tensor Geometry, U.C. Berkeley, 28 SEPT 2012. PDF
- Counting Hyperplane Arrangements, Queen's University, 26 JULY 2012. PDF
- Families of Free Hyperplane Arrangements, Joint Mathematics Meetings, New Orleans, LA, 09 JAN 2011. PDF
- Subspace Arrangements Yearning for Freedom, AMS Section Meeting, Lexington, KY, 27 MAR 2010. PDF
- Reconstructing Hyperplane Arrangements, MD-DC-VA MAA Section Meeting, Hood College, 08 NOV 2008. PDF
- Differential Operators and Invariant Theory, Representation Theory, Systems of Differential Equations and their Related Topics Hokkaido University, Japan 5 JULY 2007. PDF
- The Fundamental Theorem of Invariant Theory, Math Department Colloquium, USNA, 15 NOV 2006. PDF
- Differential Operators on Rings of Invariants, RICAM, Linz, Austria, 15 MAY 2006. PDF
- Counting Conics, Math Department Colloquium, Howard University, Washington, D.C., 18 NOV 2005. PDF
- Counting Conics, Queen’s University Algebraic Curves Seminar, 17 OCT 2005.
- Counting Conics, Dalhousie University Mathematics Colloquium, 3 OCT 2005.
- Differential Operators and Invariant Theory, Theoretical and Practical Effectivity of Gröbner Bases, Tokyo, Japan, 25 AUG 2005. PDF
- Invariants and Differential Operators, Workshop on D-modules and Hypergeometric Functions, 14 JULY 2005. PDF
- Conics on the Cubic Surface, Mid-Atlantic Algebra Conference, George Mason University, VA, 14 NOV 2004. PDF
- The Algebra of Optimization, Math Department Colloquium, USNA, 06 NOV 2003. PDF
- Differential Operators on Toric Varieties, AMS-RMSE International Meeting, Special Session, Seville, Spain, JUN 2003.
- Higher Derivations and the Steenrod Algebra, INGO European Invariant Theory Conference, Göttingen, Germany, APR 2003. PDF, Notes
- Higher Derivations in Algebraic Geometry, Math Department Colloquium, USNA, 19 MAR 2003. PDF
- Solving Equations at the Naval Academy, Maui High Performance Computing Center, JUN 2002. PDF
- A Power Series Problem Motivated by the Localization Conjecture, AMS Section Meeting, Ann Arbor, MAR 2002.
- Parallel Computation of Gröbner Bases, AMS National Meeting, San Diego, JAN 2002
- Algebraic Curves for Fun and Profit, American University Mathematics Colloquium, NOV 2002.
- Differential Simplicity, Route 81 Conference, SUNY Albany, NOV 2002.
- The Elliptic Curve Attack on RSA Encryption, MAA Section Meeting, Blacksburg, VA, OCT 2001.
- Commutative Algebra and Network Security, Mathematics Colloquium, Towson University, 5 APR 2001. PDF
- Commutative Algebra and Network Security, Mid-Atlantic Algebra Conference, Virginia Tech., MAR 2001.
- Differential Algebras on Toric Varieties, Regional AMS Meeting, Columbia University, N.Y., Special Session on Differential Algebra, NOV 2000.
- Differential Algebras on Toric Varieties, AMS-IMS-SIAM Summer Research Conference, Mount Holyoke College, JUN 2000.
- Fair Cake Cutting After Su, Regional MAA Meeting, Bowie State University, APR 2000.
- Differential Simplicity implies Smoothness, Mid-Atlantic Algebra Conference, George Mason University, MAR 2000.
- Cliques at the Naval Academy, Regional MAA Meeting, Loyola College, NOV 1999.
- Differential Simplicity, Mid-West Algebraic Geometry Conference, University of Missouri, Columbia, OCT 1999.
- The Prime Directive, Mathematics Department Colloquium, USNA, FALL 1999.
- Differential Operators on Algebraic Varieties, Mathematical Sciences Research Institute, Berkeley, CA, Postdoctoral Seminar, DEC 1998.
- Derivations in Prime Characteristic, University of California, Berkeley, Eisenbud Seminar, DEC 1998.
- Commutative Algebra and Internet Reliability, Mathematical Sciences Research Institute, Berkeley, CA, Summer Program for Graduate Students, JUL 1998
- Differential Operators on Algebraic Varieties, University of Ottawa, MAR 1998.
- Differential Operators and Nakai’s Conjecture, U. S. Naval Academy, MAR 1998.
- A New Approach to Nakai’s Conjecture, AMS-MAA-AWM Joint Meetings, Baltimore, MD, Special Session in Commutative Algebra, JAN 1998.
- Tight Closure and Nakai’s Conjecture, Purdue University, NOV 1997.
- Nakai’s Conjecture in Prime Characteristic, Midwest Algebraic Geometry Conference, University of Notre Dame, NOV 1997.
- Nakai’s Conjecture for Curves, Route 81 Conference, Cornell University, OCT 1997.
- Higher Derivations, Queen's University, AUG 1997.
- Higher Derivations and Differential Operators, The University of Michigan, Summer Algebraic Geometry Seminar, AUG 1997.
- Differential Operators on Algebraic Varieties, Colloque des Etudiants Avances du Quebec, Universite de Montreal, MAR 1997.
- Excellent Rings and Resolution of Singularities, AMS Special Conference on Algebraic Geometry, Santa Cruz, CA, Graduate Student Session, JUL 1995.

### Selected Academic Presentations

- Creating Course Websites with Google Sites, USNA Teaching Seminar, 08 DEC 2014. PDF
- What is Infinity?, Naval Academy Summer Seminar, 11 and 18 JUNE 2013. PDF
- Secret Sharing and Cryptography, Naval Academy Summer Seminar, 20 JUNE 2011. PDF
- Solving Systems of Polynomial Equations, Basic Notions Seminar USNA Math Dept. 08 NOV 2010. PDF
- Secret Sharing and Cryptography, Naval Academy Summer Seminar, 22 JUNE 2010.
- Game Theory, Presentation to SM280 (Topics in Mathematics), USNA, 04 NOV 2008. PDF
- Game Theory, Naval Academy Summer Seminar, 2 and 17 JUNE 2008. PDF
- Where Do Curves Go When They Meet at Infinity? Math Club, USNA, 21 SEPT 2006. PDF
- Cryptography, Presentation to SM280 (Topics in Mathematics), USNA, 19 SEPT 2006. PDF
- The Value of Money, Summer Seminar, USNA, JUN 2001.
- A Brief History of Numbers, SIMMER Invited Lecture, The Fields Institute, Toronto, MAY 1997.
- Group Cohomology (2 lectures), The Fields Institute, Toronto, FALL 1995.