Organization

Minisymposium on Approximation Theory and Algebraic Geometry (co-organized with Tatyana Sorokina)
at the 15th International Conference on Approximation Theory in San Antonio, Texas (May 22-25, 2016)
Minisymposium on Multivariate Splines and Algebraic Geometry (co-organized with Frank Sottile)
at the SIAM conference on Applied Algebraic Geometry in Atlanta, Georgia (July 31-August 4, 2017)

Here are slides for some of the talks:
- Michael DiPasquale: Algebraic methods in spline theory
- Frank Sottile: Semialgebraic splines
- Tatyana Sorokina: Subdivision and spline spaces
- Nelly Villamizar: Geometric realizations of the space of splines on a simplicial complex
- Bernard Mourrain: Smooth splines on surfaces with general topology
- Peter Stiller: Spaces of splines, vector bundles, and reflexive sheaves
- Julianna Tymoczko: Splines on lattices and equivariant cohomology of certain affine Springer fibers
- Cesare Bracco: Dimension of Tchebycheffian spline spaces on T-meshes
- Stefan Tohaneanu: Interpolating with hyperplane arrangements via generalized star configurations
- Boris Shekhtman: Algebraic geometry and interpolation problems
- Katharina Birner: Basis and dimesion of trivariate geometrically continuous isogeometric functions on two-patch domains

Colloquia and such
Here are slides for several colloquia that I have given on my research in algebraic splines. Most of these have a significant amount of overlap, but not all.

Towson University (Towson MD, November 2016)
US Naval Academy (Annapolis MD, November 2016)
University of Idaho (Moscow ID, April 2016)
Oklahoma State University (Stillwater OK, September 2015)
University of South Florida (Tampa FL, February 2015)

Here are slides for talks I have given on splines geared toward undergraduates. Again, there is a good amount of overlap between the presentations.

Smith College, Center for Women in Mathematics (Northampton MA, March 2016)
Bradley University, Colloquium (Peoria IL, December 2014)
Rose-Hulman, Mathematics Seminar (Terra-Haute IN, October 2014)

Here are some notes for a talk I gave at Stillwater High School for their Math Symposium in February 2017.

Conferences and Workshops Attended
If I gave a talk, it appears indented below the conference in italics.

AMS-MAA Joint Mathematics Meetings (San Diego CA, January 2018)
The Toric Ring of a Two-Borel Ideal is Koszul , Special Session on Combinatorial Commutative Algebra and Polytopes
AMS Sectional Meeting (Denton TX, September 2017)
Freeness of multi-Coxeter arrangements of type A , Special Session on Algebraic Combinatorics of Flag Varieties

Splines on planar semi-algebraic partitions , Special Session on Applicable and Computational Algebraic Geometry
SIAM Conference on Applied Algebraic Geometry (Atlanta GA, August 2017)
Algebraic methods in spline theory , Minisymposium on Multivariate Splines and Algebraic Geometry
Stillman's Conjecture and other Progress in Free Resolutions: a workshop in honor of the 60th birthdays of Dave Bayer and Mike Stillman (Berkeley CA, July 2017)
CMO workshop on Ordinary and Symbolic Powers of Ideals (Oaxaca Mexico, May 2017)
AMS Sectional Meeting (Pullman WA, April 2017)
Multi-derivations on the moduli of the X3 arrangement, Special Session on Combinatorial and Computational Commutative Algebra and Algebraic Geometry
University of Arkansas Spring Lecture Series: Geometry and the Equations Defining Projective Varieties (Fayetteville, AK March 2017)
15th International Conference on Approximation Theory (San Antonio TX, May 2016)
Splines on Tetrahedral Decompositions , Minisymposium on Approximation Theory and Algebraic Geometry
AMS Sectional Meeting (Chicago IL, October 2015)
Generalized Splines and Graphic Multi-Arrangements , Special Session on Combinatorial and Computational Algebra
MFO Workshop on Multivariate Splines and Algebraic Geometry (Germany, April 2015)
Piecewise Polynomials and Regularity
AMS-MAA Joint Mathematics Meetings (San Antonio TX, January 2015)
Castelnuovo-Mumford Regularity of Mixed Spline Spaces, Session on Commutative Algebra
AMS Sectional Meeting (Lubbock TX, April 2014)
Regularity of Planar Splines, Special Session on Commutative Algebra and Algebraic Geometry
KUMUNU jr. (Lincoln NE, April 2014)
Regularity and Piecewise Polynomial Functions
Southwest Local Algebra Meeting (College Station TX, March 2014)
Local Properties of Splines, Graduate Student Poster Session
AMS-MAA Joint Mathematics Meetings (Baltimore MD, January 2014)
Lattice-Supported Splines on Polytopal Complexes, Special Session on Hyperplane Arrangements and Applications
SIAM Conference on Applied Algebraic Geometry (Fort Collins CO, August 2013)
Lattice-Supported Bases for Polyhedral Splines, Session on Approximation Theory, Geometric Modelling, and Algebraic Geometry
15th International Conference on Approximation Theory (San Antonio TX, May 2013)
Bivariate Continuous Splines on Polyhedral Complexes , Minisymposium on Multivariate Splines
AMS Sectional Meeting (Tulane LA, October 2012)
Shellability and Freeness of Continuous Splines, Special Session on Approximation Theory, Geometric Modelling, and Algebraic Geometry
MSRI Workshop on Combinatorial Commutative Algebra (San Francisco CA, December 2012)
IMA Summer School in Applied Algebraic Geometry at Georgia Tech (Atlanta GA, July-August 2012)
AMS-MAA Joint Mathematics Meetings (Washington DC, January 2009)
Exploring Gassmann Triples, Undergraduate Student Poster Session ($100 prize)

Seminar Talks

Homological Obstructions to Freeness of Multi-Arrangements, Geometry Seminar at Texas A\& M University (College Station TX, October 2017)
Free Multi-Braid Arrangements and Resolutions, Algebra Seminar at University of Arkansas (Fayeteville AK, March 2017)
Multi-Derivations of Braid Arrangements, Combinatorics Seminar at University of Kansas (Lawrence KS, September 2016)
Semialgebraic Splines, Valley Geometry Seminar at University of Massachusetts (Amherst MA, March 2016)
Commutative Algebra meets Approximation Theory, Numerical Analysis Seminar at Oklahoma State University (Stillwater OK, November 2015)
Splines, Syzygies, and Freeness, Commutative Algebra Seminar at Oklahoma State University (Stillwater OK, September 2015)
Regularity of Planar Splines, Geometry Seminar at Texas A\& M University (College Station TX, September 2015)
Associated Primes of Complexes Arising in Approximation Theory, Commutative Algebra Seminar at University of Illinois Urbana-Champaign (Champaign IL, November 2014)
Castelnuovo-Mumford Regularity in Approximation Theory, Algebraic Geometry Seminar at University of Illinois Urbana-Champaign (Champaign IL, November 2014)
Hilbert's Sixteenth Problem, Discriminants, and Toric Varieties, Graduate Algebraic Geometry Seminar at University of Illinois Urbana-Champaign (Champaign IL, September 2014)
Regularity and Piecewise Polynomial Functions, Graduate Algebraic Geometry Seminar at University of Illinois Urbana-Champaign (Champaign IL, April 2014)
Revisiting Lehmer's Picturesque Exponential Sums, Graduate Number Theory Seminar at University of Illinois Urbana-Champaign (Champaign IL, October 2013)
Splines and Fat Points, Graduate Geometry and Topology Seminar at University of Illinois Urbana-Champaign (Champaign IL, September 2013)
Bezout, Cayley-Bacharach, and Pascal, Graduate Geometry and Topology Seminar at University of Illinois Urbana-Champaign (Champaign IL, September 2012)
Resolutions and Geometry, Graduate Geometry and Topology Seminar at University of Illinois Urbana-Champaign (Champaign IL, February 2012)
Splines on Polyhedral Complexes, Graduate Geometry and Topology Seminar at University of Illinois Urbana-Champaign (Champaign IL, September 2011)
Lehmer's Picturesque Exponential Sums with a Twist (with Daniel Schultz), Number Theory Seminar at University of Illinois Urbana-Champaign (Champaign IL, February 2010)