Curriculum Vitae (PDF version)
Education
 Ph.D. Mathematics, University of Kansas August 2012
 M.A. Mathematics, University of Kansas December 2009
 M.S. Mathematics, Missouri State University May 2005
 B.S. Mathematics, College of the Ozarks May 2001
Research Interests
 Commutative Algebra, Maximal CohenMacaulay Modules, Algebraic Combinatorics, BoijSöderberg Theory, Homological Algebra, Hilbert Functions, Finite $F$Representation Type, Macaulay2.
Employment
 Assistant Professor, Adelphi University Fall 2014  Present
 IMMERSE Faculty, University of Nebraska – Lincoln Summer 2014
 Visiting Assistant Professor, Bard College Fall 2012  Spring 2014
 Postdoc, Bard Prison Initiative (BPI) Fall 2012  Present
 Adjunct Faculty, University of Kansas Summer 2012
 GK12 Fellowship Summer 2010  Fall 2012
 GRA, University of Kansas Summer 2008, 2009 and Spring 2010
 GTA, University of Kansas Fall 2005  2009
 Adjunct Faculty, Ozark Technical College Spring 2003  Spring 2005
 GTA, Missouri State University Spring 2002  Spring 2005
 TA, College of the Ozarks Fall 1999  Spring 2001
Publications

Recursive strategy for decomposing Betti tables of complete intersections.
Joint with C. Gibbons and R. Huben.
(Recently Submitted)
[arXiv:1708.05440] 
Generalized Multiplicative Indices of Polycyclic Aromatic Hydrocarbons and Benzeniod Systems.
Zeitschrift für Naturforschung A, 72.6 (2017): 573576.
Joint with V.R. Kulli, Shaohui Wang, and Bing Wei.
[arXiv:1705.01139] 
Nonsimplicial decompositions of Betti diagrams of complete intersections.
J. Commut. Algebra 7 (2015), no. 2, 189–206.
Joint with Courtney Gibbons, Jack Jeffries, Sarah Mayes, Claudiu Raicu, and Brian White. Results from a summer workshop in commutative algebra at MSRI, 2011.
[arXiv:1301.3441] 
A sequence defined by Msequences.
Discrete Math. 333 (2014), 35–38.
Joint with Tom Enkosky.
[arXiv:1308.4945] 
NonGorenstein isolated singularities of graded countable CohenMacaulay type.
Connections between algebra, combinatorics, and geometry, 299–317, Springer Proc. Math. Stat., 76, Springer, New York, 2014.
[arXiv:1307.6206] 
Superstretched and graded countable CohenMacaulay type.
Journal of Algebra 398C (2014), pp. 120.
[Article], [arXiv:1301.3593] 
Computing free bases for projective modules
The Journal of Software for Algebra and Geometry (2013).
Joint with Brett Barwick.
[Article] , [M2] 
Ideals with Larger Projective Dimension and Regularity.
Journal of Symbolic Computation (2011).
Joint with Jesse Beder, Jason McCullough, Luis Nunez, Alexandra Seceleanu, and Bart Snapp.
[Article], [arXiv:1101.3368]
Macaulay 2 Packages

Visualize.m2 (in development): Joint with Brett Barwick, Tom Enkosky, and Jim Vallandingham. This package helps visualize algebraic objects in the browser using javascript.

Decompositions.m2: Joint with Courtney Gibbons during the MSRI Summer School in Commutative Algebra. This is a patch to supplement to the current BoijSöderberg Macaulay2 package. This package allows the user to compute the coefficients of a Betti Table decomposition using the HerzogKohl equations and is included in the current version of the BoijSoederberg.m2 package in Macaulay2.

QuillenSuslin.m2 This is joint with Brett Barwick. Given a projective module over a polynomial ring, this package uses LogarSturmfels’ algorithm to calculate the free basis.

BigIdeal.m2 This package generates the ideals defined in Ideals with Larger Projective Dimension and Regularity by Beder, McCullough, Nunez, Seceleanu, Snapp and Stone. These ideals have very large projective dimension and regularity relative to the degree and number of generators.
Grants
Honours and Awards
 20122013 MAA Project NExT Leitzel Fellowship
 20112012 NSF Graduate STEM Fellow in K12 Education (GK12)
 20102011 NSF Graduate STEM Fellow in K12 Education (GK12)
Upcoming Presentations
 May 2017 Special Session: Commutative Algebra, Spring Eastern Sectional Meeting of the AMS, Hunter College, New York, NY
Past Presentations

January 2017 Special Session: Commutative Algebra: Research for Undergrads and Early Graduate Students, Joint Mathematics Meetings, Atlanta, GA

January 2017 Special Session: Innovative Strategies to Inspire and Prepare Potential STEM Majors Who are Not Yet Ready for Calculus, Joint Mathematics Meetings, Atlanta, GA

November 2015 Special Session: Aspects of Resolutions and Syzygies in Commutative Algebra, Fall Eastern Sectional Meeting of the AMS, Rutgers University, New Brunswick, NJ

October 2015 Special Session: Homological Methods in Commutative Algebra, Fall Western Sectional Meeting of the AMS, Cal State, Fullerton, Fullerton, CA

October 2015 University of Minnesota, Duluth Math Seminar, Duluth, MN

February 2015 Fairfield University Student Math Seminar, Fairfield, CT

October 2014 University at Albany Algebra Seminar, Albany, NY

October 2014 United States Coast Guard Academy Math Seminar, New London, CT

April 2014 Invited speaker for the special session: Homological Methods in Algebra, 2014 AMS Spring Central Section Meeting, Texas Tech University, Lubbock, TX

February 2014 United States Military Academy Seminar, USMA, West Point, NY

January 2014 Invited speaker for the special session: Homological and Characteristic p Methods in Commutative Algebra, 2014 Joint Mathematics Meeting, Baltimore, MD

November 2013, Presented a poster at the Commutative Algebra — Algebraic Geometry in the Southeast conference, University of South Carolina, Columbia, SC

November 2013, Invited speaker for the special session: Commutative Algebra and its interaction with Algebraic Geometry and Combinatorics, 2013 AMS Fall Western Section Meeting, University of California Riverside, Riverside, CA

October 2013, Invited speaker for Route 81 2013, Syracuse University, Syracuse, NY

October 2013, Invited speaker for Union College Mathematics Conference, Albany, NY

October 2013, Invited speaker for University of Arkansas Algebra Seminar, Fayetteville, AR

August 2013 Invited speaker for paper session on Developments in Commutative Algebra, MAA MathFest, Hartford, CT

April 2013, Invited speaker for the Commutative Algebra & Algebraic Geometry Seminar, CUNY Graduate Center, New York, NY

February 2013, Invited speaker for the Further Connections Between Algebra and Geometry, North Dakota State University, Fargo, ND

November 2012, Invited speaker for the Cornell workshop on Syzygies, Cornell University, Ithaca, NY

October 2012, Invited speaker for the Fall Western Section Meeting of the AMS, University of Arizona, Tucson, AZ

April 2012, Invited speaker for University of NebraskaLincoln Mathematics Seminar

February 2012, Invited speaker for University of Utah Mathematics Seminar

October 2011, Invited speaker for the Fall Central Section Meeting of the AMS, University of NebraskaLincoln, Lincoln, NE

June 2011, Invited speaker for the Bay Area Circle for Teachers (BACT) Summer Workshop, Clark Kerr Campus in Berkeley, CA

May 2011, Presented a poster at the Midwest Commutative Algebra and Geometry Conference, Purdue University, West Lafayette, IN

March 2011, Presented a poster at the 2011 GK12 national meeting on the work accomplished at Eisenhower middle school in Kansas City, Kansas. As a Gk12 fellow, I created an online journal for the middle school students to use for collaboration between different groups. The students where given simple problems to first solve and then generalize as much as possible.

March 2011, Presented a poster 2011 Southwest Local Algebra Meeting at New Mexico State University.
Gatherings Organized

Adelphi University Math and Computer Science Faculty Seminar Series, Fall 2016  Current

Adelphi University Math and Computer Science Seminar Series, Fall 2014  Current

William Lowell Putnam Mathematical Competition at Adelphi University, December 2014  2016

Project NExT Panel Session on Required Undergraduate Research Projects and Capstone Courses, MathFest, Hartford, CT, July 2013

Project NExT Panel Session on Mathematics for Social Justice, Joint Mathematics Meeting, San Diego, CA, January 2013

KUMUNU jr. – Graduate Student Conference, Coorganized with Courtney Gibbons, Amanda Croll and Ananth Hariharan, University of NebraskaLincoln, Spring 2012

Research Papers, Graduate Student Seminar, University of Kansas, Fall 2010, Spring 2011, Fall 2011

Homological Invariants and Local Cohomology, Graduate Student Seminar, University of Kansas, Fall 2009

Research Topics, Graduate Student Seminar, University of Kansas, Fall 2008, Spring 2009
Services and Outreach

Reviewer for Zentralblatt MATH, Current

Reviewer for AMS, Mathematical Reviews, Current

Paper referee for journals, Current
 Faculty Advisor for AMS Student Chapter, Spring 2017

Founded the AMS Student Chapter, Department receives $500 per year from AMS

Academic advisor for sophomore/junior math majors Spring 2016  Current

Help Maintain www.commalg.org, Spring 2015  Current

MAA Liaison for the Adelphi math and computer science department, Fall 2014  Current
 Member of the General Education committee at Adelphi, Fall 2016  Current

Chair of Quantitative Reasoning and Formal Science subcommittee

Represented Math and CS department in Faculty Senate, Spring 2016

Poster and Presentation Judge for Adelphi University’s Research Day, April 2015, 2016

Speaker for the Lifetime Learning Institute, Bard College, Fall 2013

Tutorial on Problem Solving and Civic Engagement, Bard College, Fall 2012

American Math Contest 8 (AMC 8) volunteer, Bard College, November 2012

Presentation of mathematical activities, Lawrence Montessori School, Lawrence, KS, Summer 2011

Nominated member, AMS Graduate Student Editorial Board, Fall 2010, Spring 2011

Math Counts Coach at West Junior High, Lawrence, Kansas, Fall 2008  Fall 2010

President for Graduate Student Organization, University of Kansas, Fall 2008, Spring 2009

Representative for Graduate Student Organization, University of Kansas, Fall 2007, Spring 2008
 Math Awareness Month presenter at a workshops for 6th graders, University of Kansas, 2008  2011
Courses Taught
Adelphi University
 Math 110, PreCalculus for NonMajors (Summer 2015)
 Math 113, Survey of Statistics (online) (Spring 2017, Fall 2017)
 Math 130, Calculus I A (Fall 2014)
 Math 140, Precalculus (Fall 2017)
 Math 141, Calculus I (Fall 2014)
 Math 142, Calculus II (Spring 2015, Fall 2015)
 Math 243, Calculus III (Spring 2016, Fall 2016)
 Math 253, Linear Algebra (Spring 2015, Fall 2015)
 Math 351, Number Theory (Fall 2016)
 Math 362, Mathematical Statistics (Spring 2017)
 Math 390, Special Topics: Graph Theory (Spring 2016)
 Math 391, Ind Study: Diff Geometry (Spring 2015)
 Math 391, Ind Study: Calculus to Cohomology (Fall 2016)

Math 391, Ind Study: Research (Fall 2015  present)
 CSC 156, Discrete Structures (Spring 2017)
 CSC 160, Computer Programming for NonMajors (Spring 2017)

CSC 171, Intro to Java I (Fall 2016, Spring 2017)
 MTP 243, Analyzing the Common Core (Fall 2016)
University of Nebraska – Lincoln (IMMERSE)
 Introduction to Commutative Algebra via reading a research paper (Summer 2014)
Bard College
 Math 107, Topics in Geometrical Mathematics (Spring 2014)
 Math 141, Calculus I (Fall 2012)
 Math 142, Calculus II (Fall 2012)
 Math 213, Linear Algebra/Diff Eq (Spring 2013)
 Math 241, Vector Calculus (Fall 2013)
Eastern Correctional Facility (BPI)
 Math 231, Discrete Math with Proofs (Fall 2012)
 Math 317, Graph Theory (Spring 2014)
 Math 332, Abstract Algebra (Spring 2013)
 Math 334, Advanced Explorations in Math (Fall 2012)
 Math 361, Real Analysis (Fall 2013)
 Math IND, Readings: Lebesgue Integration (Spring 2013)
 Math IND, Readings: Commutative Algebra (Fall 2013)
Woodourne Correctional Facility (BPI)
 Math 332, Abstract Algebra (Spring 2013)
NSF GK12 Fellow
As an NSF Graduate STEM Fellow in K12 Education (GK12), I implemented inquiry based learning in middle school mathematics classrooms in Kansas City and I was a teaching assistant in an inquiry based learning course for undergraduate mathematics education majors.
(June 2010  May 2012)
University of Kansas
 Math 002, Intermediate Algebra (Fall 2007)
 Math 109, Math for Elementary School Teachers I (Fall 2008)
 Math 115, Calculus I (Fall 2005, Spring 2006, Spring 2007)
 Math 116, Calculus II (Fall 2006)
 Math 122, Calculus II (Spring 2009, Fall 2009, Summer 2012)
 Math 290, Elementary Linear Algebra (Summer 2007, Spring 2008)
Research with Undergrads
 Finding Complex Roots Current
 Nicholas DeMarco, Adelphi University

(Coadvised with Sarah Wright)
 Linear Programming with Macaulay2 Current

Kyle Murray, Adelphi University
 Walks on molecular graphs May 2017

Marisa Masi, Adelphi University
 Matroids on Rings with applications to toric ideals May 2017
 Patrick Phelps, Adelphi University
 From String Theory to Elliptic Curves over Finite Field, $\mathbb{F}_p$ May 2014

Linh Pham, Bard College
 Let’s Walk and Explore May 2014

Bard College (BPI)
 A New Look at Hadwiger’s Conjecture May 2014

Bard College (BPI)
 Concrete Bridges to Abstract Algebras May 2014

Bard College (BPI)
 Sifting Squared Prime Intervals Efficient Prime Acquisition and Counting May 2014

Bard College (BPI)
 Algebraic Structures and BoijSöderberg Theory May 2013

Fanny WyrickFlax, Bard College
 Applications of Graph Theory to Chaotic Systems January 2013
 Bard College (BPI)

(Coadvised with Georgi Gospodinov)
 Computing Various Dimensions of Chaotic Systems January 2013
 Bard College (BPI)
 (Coadvised with Georgi Gospodinov)
Technical Skills
 Proficient in Macaulay2, LaTeX, Java, Git, and JavaScript
 Experience with Python, Sage, C++, html and Linux Operating Systems
 Familiarity with Mathematica, MatLab, Maple, Excel, Word, Unix Operating System, and Ruby
Professional Membership
 American Mathematical Society (AMS)
 Mathematical Association of America (MAA)
 Pi Mu Epsilon (PME)
Upcoming Conferences To Attend
 May 2017 Special Session: Commutative Algebra, Spring Eastern Sectional Meeting of the AMS, Hunter College, New York, NY
 May 2017 A View Towards Algebraic Geometry, in honor of David Eisenbud’s birthday, Martha’s Vineyard, MA
 July 2017 M2 Conference/Workshop, Berkeley, CA
Past Conferences Attended
 2017 Joint Mathematics Meeting, January 2017, Atlanta, GA
 Commutative Algebra and Its Interactions with Algebraic Geometry, July 2016, University of Michigan, Ann Arbor, MI
 Macaulay2 Workshop, Warwick, May 2016, University of Warwick, UK
 Macaulay2 Workshop 2016, May 2016, University of Utah, Salt Lake City, UT
 2016 Joint Mathematics Meeting, January 2016, Seattle, WA
 Fall Eastern Sectional Meeting of the AMS, November 2015, Rutgers University, New Brunswick, NJ
 Fall Western Sectional Meeting of the AMS, October 2015, Cal State, Fullerton, Fullerton, CA
 Macaulay2 Workshop, May 2015, Boise State University, Boise, Idaho
 AMS Spring Eastern Sectional Meeting, March 2015, Georgetown University, Washington, DC
 MAANY Fall 2014 Meeting, November 2014, Saint Peter’s University, Jersey City, NJ
 Route 81 Conference on Commutative Algebra and Algebraic Geometry, September 2014, Cornell University, Ithaca, NY
 2014 Central Spring Sectional Meeting of the AMS, April 2014, Texas Tech University, Lubbock, TX
 Positive Characteristic Algebraic Geometry Workshop, March 2014, University of Illinois at Chicago, Chicago, IL
 2014 Joint Mathematics Meetings, Baltimore, MD Invited Speaker
 2014 Spring Central Section Meeting of the AMS, Lubbock, TX Invited Speaker
 Commutative Algebra — Algebraic Geometry in the Southeast Presenting Poster
 2013 Western Fall Sectional Meeting of the AMS, Riverside, CA Invited Speaker
 Route 81 2013 Invited Speaker
 Union College Mathematics Conference Invited Speaker
 MAA Mathfest Invited Speaker
 PCMI Workshop for Mentors of Undergraduate Mathematics Research by Minority Students 2013
 MSRI: Representation Theory, Homological Algebra, and Free Resolutions
 Further Connections Between Algebra and Geometry Invited Speaker
 2013 Joint Math Meeting
 Cornell workshop on Syzygies Invited Speaker
 2012 Fall Western Section Meeting of the AMS Invited Speaker
 Route 81 (Tonyfest)
 KUMUNU jr Organizer
 Interactions between Commutative Algebra and Representation Theory
 2012 Spring Central Section Meeting of the AMS
 2012 Joint Mathematics Meeting
 Oberwolfach Seminar: Surface Singularities and McKay Correspondence
 Fall Central Section Meeting of the AMS Invited Speaker
 The Bay Area Circle for Teachers (BACT) Summer Workshop Invited Speaker
 MSRI Commutative Algebra Summer School
 Midwest Commutative Algebra and Geometry Conference, Purdue Presented Poster
 Homological Day 2011
 KUMUNU 2011
 GK12 Annual Meeting in Washington DC Presented Poster
 Southwest Algebra: Las Cruces, NM Presented Poster
 Science: Becoming the Messenger Workshop
 2011 Joint Mathematics Meetings in New Orleans, LA
 Commutative Algebra in the Southeast, National Meeting
 Colorado College Macaulay 2 Workshop
 MRC Snowbird
 ITSISU Project for Gr. 312 Kansas Science Teachers Workshop
 Local Rings and Varieties
 MSRI Macualay 2 Workshop
 KUMUNU 2009
 KUMUNU 2008
 Commutative Algebra and Connections
 KUMUNU 2006
 Valuation Theory and Integral Closures
 Magic 05  Notre Dame
 Wiegandfest
 30th Arkansas Spring Lecture Series