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 Cohen-Macaulay Modules, Algebraic Combinatorics, Boij-Söderberg Theory, Homological Algebra, Hilbert Functions, Finite $F$-Representation Type, Macaulay2.

Employment

• Visiting Assistant Professor, Hamilton College Fall 2018 - Present
• Assistant Professor, Adelphi University Fall 2014 - Summer 2018
• IMMERSE Faculty, University of Nebraska - Lincoln Summer 2014
• Visiting Assistant Professor, Bard College Fall 2012 - Spring 2014
• Postdoc, Bard Prison Initiative (BPI) Fall 2012 - Spring 2014
• Adjunct Faculty, University of Kansas Summer 2012
• GK-12 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

1. Calculations involving symbolic powers.
   The Journal of Software for Algebra and Geometry, Vol. 9 (2019), 71-80.
   Joint with B. Drabkin, E. Grifo, and A. Seceleanu.

2. Recursive strategy for decomposing Betti tables of complete intersections.
   International Journal of Algebra and Computation, Vol. 29, No. 7 (2019).
   Joint with C. Gibbons and R. Huben.
   [arXiv:1708.05440]

3. Advising undergraduate research in prison.
   Mathematical Outreach: Explorations in Social Justice Around the Globe, 255-263.
   Series on Mathematics Education: Vol 16, World Scientific, November 2019.

4. Visualizing combinatorial objects in Macaulay2.
   Sém. Lothar. Combin. 80B (2018), Art. 97, 6 pp.
   Joint with B. Barwick, T. Enkosky, and J. Vallandingham.

5. Generalized Multiplicative Indices of Polycyclic Aromatic Hydrocarbons and Benzeniod Systems.
   Zeitschrift für Naturforschung A, 72.6 (2017): 573-576.
   Joint with V.R. Kulli, Shaohui Wang, and Bing Wei.
   [arXiv:1705.01139]

6. Non-simplicial 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]

7. A sequence defined by M-sequences.
   Discrete Math. 333 (2014), 35–38.
   Joint with Tom Enkosky.
   [arXiv:1308.4945]

8. Non-Gorenstein isolated singularities of graded countable Cohen-Macaulay type.
   Connections between algebra, combinatorics, and geometry, 299-317, Springer Proc. Math. Stat., 76, Springer, New York, 2014.
   [arXiv:1307.6206]

9. Super-stretched and graded countable Cohen-Macaulay type.
   Journal of Algebra 398C (2014), pp. 1-20.
   [Article], [arXiv:1301.3593]

10. Computing free bases for projective modules
    The Journal of Software for Algebra and Geometry (2013).
    Joint with Brett Barwick.
    [Article] , [M2]

11. 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: 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 Boij-Söderberg Macaulay2 package. This package allows the user to compute the coefficients of a Betti Table decomposition using the Herzog-Kohl 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 Logar-Sturmfels’ 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

• NSF Conference Grant DMS-1701922, $30,000. Free resolutions and computations, Berkeley 2017

Honours and Awards

• 2019-2021 Innovations in Digital Pedagogy Fellowship, Hamilton College
• 2012-2013 MAA Project NExT Leitzel Fellowship
• 2011-2012 NSF Graduate STEM Fellow in K-12 Education (GK-12)
• 2010-2011 NSF Graduate STEM Fellow in K-12 Education (GK-12)

Gatherings Organized

• Macaulay2 Workshop, Cleveland State University. May 2020

• AMS Special Session on Commutative Ring Theory: Research for Undergraduate and Early Graduate Students, JMM, Baltimore, MD January 2019

• Macaulay2 Conference/Workshop: Stillman’s Conjecture and other Progress on Free Resolutions July 2017

• Adelphi University Math and Computer Science Faculty Seminar Series, Fall 2016 - Spring 2018

• Adelphi University Math and Computer Science Seminar Series, Fall 2014 - Spring 2018

• William Lowell Putnam Mathematical Competition at Adelphi University, December 2014 - 2017

• 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, Co-organized with Courtney Gibbons, Amanda Croll and Ananth Hariharan, University of Nebraska-Lincoln, 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

• Referee for various mathematical journals Spring 2015 - Current

• Co-Maintain www.commalg.org Spring 2015 - Current

• What is? seminar series organizer, Days-Massolo Center, Hamilton College Spring 2019-Current

• Reviewer for Zentralblatt MATH, Current

• Reviewer for AMS, Mathematical Reviews, 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

• 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 sub-committee

• Represented Math and CS department in Faculty Senate, Adelphi University 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

Hamilton College

• Math 113, Calculus I (Fall 2019)
• Math 116, Calculus II (Fall 2018, Spring 2019)
• Math 216, Multivariable Calculus (Fall 2018)
• Math 224W, Linear Algebra (with proofs) (Spring 2019)
• Math 355, Math of Machine Learning (Fall 2019)

Adelphi University

• Math 110, Pre-Calculus for Non-Majors (Summer 2015)
• Math 113, Survey of Statistics (online) (Spring 2017 - Spring 2018)
• 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 201, Bridge to Higher Math (Proofs) (Spring 2018)
• 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 - Spring 2018)

• CSC 156, Discrete Structures (Spring 2017)
• CSC 160, Computer Programming for Non-Majors (Spring 2017)

• CSC 171, Intro to Java I (Fall 2016, Spring 2017, Spring 2018)

• 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 GK-12 Fellow

As an NSF Graduate STEM Fellow in K-12 Education (GK-12), 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

• Classifying nearly complete intersections Summer 2019

• Charlie Miller, Hamilton College

• Semi-definite programming with Macaulay2 Spring 2018

• Vincent Schinina, Adelphi University

• Linear programming with Macaulay2 Fall 2017

• Kyle Murray, Adelphi University

• Finding complex roots May 2017

• Nicholas DeMarco, Adelphi University (Co-advised with Sarah Wright)

• 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 Boij-Söderberg Theory May 2013

• Fanny Wyrick-Flax, Bard College

• Applications of Graph Theory to Chaotic Systems January 2013
• Bard College (BPI)

• (Co-advised with Georgi Gospodinov)

• Computing Various Dimensions of Chaotic Systems January 2013
• Bard College (BPI)
• (Co-advised 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)

Past Presentations

• (October 2019) Special Session: Commutative Algebra, Binghamton University, Binghamton, NY

• (September 2019) Utica College Math Seminar

• (April 2019) Franklin \& Marshall College Math Seminar

• (April 2018) Special Session: Homological Commutative Algebra, Northeastern University, Boston, MA

• March 2018 University of Virginia, Charlottesville, VA

• January 2018 MAA Session on Innovative Mathematical Outreach in Alternative Settings, Joint Mathematics Meetings, San Diego, CA

• May 2017 Special Session: Commutative Algebra, Spring Eastern Sectional Meeting of the AMS, Hunter College, New York, NY

• 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 Nebraska-Lincoln 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 Nebraska-Lincoln, 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 GK-12 national meeting on the work accomplished at Eisenhower middle school in Kansas City, Kansas. As a Gk-12 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.

Past Conferences Attended

• (October 2019) Fall Eastern Sectional Meeting, Binghamton University, Binghamton, NY
• (January 2019) 2019 Joint Mathematics Meeting, Baltimore, MD
• (July 2018) The Undergraduate Faculty Program at Park City Math Institute. Workshop on discrete Fourier analysis and the Erdös distance problem. Park City, UT
• (April 2018) Spring Eastern Sectional Meeting, Northeastern University, Boston, MA
• (March 2018) Mini Workshop in Homological Algebra, University of Virginia, Charlottesville, VA
• March 2018 The Homological Conjectures: Resolved! MSRI, Berkeley, CA
• January 2018 Joint Mathematics Meeting, San Diego, CA
• October 2017 Structures on Free Resolutions, Lubbock, TX
• 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
• 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
• MAA-NY 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
• ITSI-SU Project for Gr. 3-12 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