Curriculum Vitae

**Employment:**

2019- | Associate Professor | University of Kentucky |

2012-2019 | Assistant Professor | University of Kentucky |

2011-2012 | Visiting Assistant Professor | University of Illinois (Urbana-Champaign) |

2008-2011 | J L. Doob Research Assistant Professor | University of Illinois (Urbana-Champaign) |

**Education:**

2008 | Ph.D. in Mathematics | University of Chicago |

2002 | B.S. in Mathematics and Philosophy | University of Michigan |

**Awards and Fellowships:**

2020-2023 | NSF Grant-DMS 2003204 |

2017-2020 | NSF Grant-DMS 1710379 |

2013-2017 | Simons Foundation Collaboration Grant |

2002-2008 | NSF Graduate Student Research Fellowship |

**Publications:**

- (with E. Belmont and D. Isaksen) C
_{2}-equivariant and**R**-motivic stable stems, II. To appear in the*Proceedings of the AMS*. ArXiv) - (Joint with M. A. Hill, D. C. Isaksen, and D. C. Ravenel) The cohomology of C
_{2}-equivariant A(1) and the homotopy of ko_{C2}.*Tunisian Journal of Math*(2020) - (Joint with J. P. May) Enriched model categories and presheaf categories.
*New York Journal of Math*(2020) - (with J. Peter May, Mona Merling, and Angélica Osorno) Symmetric monoidal G-categories and their strictification.
*Quarterly Journal of Mathematics*(2019) - (with C. Yarnall) The Klein four slices of positive suspensions of H
**F**_{2}, Math Z, 2019) - (with J. Peter May, Mona Merling, and Angélica Osorno) A symmetric monoidal and equivariant Segal infinite loop space machine.
*Journal of Pure and Applied Algebra*, 223 (2019), no. 6, 2425-2454. arxiv - (with Charles Weibel) Unstable operations in étale and motivic cohomology.
*Transactions of the AMS*372 (2019), 1057-1090. arxiv - (with J. Peter May and Jonathan Rubin) Enriched model categories in equivariant contexts.
*Homotopy, Homology, and its Applications*21 (2019), no. 1, 213-246. arxiv - (with J. Peter May) Permutative G-categories and equivariant infinite loop space theory.
*Algebr. Geom. Topol.*17 (2017), no. 6, 3259-3339. arxiv - (with J. Peter May and Mona Merling) Categorical models for equivariant classifying spaces.
*Algebr. Geom. Topol.*17 (2017), no. 5, 2565-2602. arxiv - (with Daniel Isaksen) The eta-inverted R-motivic sphere.
*Algebr. Geom. Topol.*16 (2016), no. 5, 3005--3027. arxiv - (with Daniel Isaksen) The motivic Adams vanishing line of slope 1/2.
*New York J. Math*, 21 (2015), 533-545. arxiv - (with Daniel Isaksen) The eta-local motivic sphere.
*Journal of Pure and Applied Algebra*, 219 (2015), 4728-4756. arxv - Strictification of categories weakly enriched in symmetric monoidal categories.
*Theory and Applications of Categories*, 24 (2010), no. 20, 564-579. arxiv - The motivic fundamental group of the punctured projective line.
*Journal of K-Theory*, 7 (2010), no. 1, 19-53. arxiv - (with Peter Duren) Asymptotic properties of zeros of hypergeometric polynomials.
*Journal of Approximation Theory*111(2) (2001), 329-343.

**Invited Talks:**

- AMS Sectional Meeting, Nashville, TN, Apr. 14, 2018
- Notre Dame University Topology Seminar, Nov. 21, 2017
- Michigan State University Topology Seminar, Nov. 9, 2017
- Vanderbilt University Topology Seminar, Sept 22, 2017
- Electronic Computational Homotopy Theory Seminar, Mar. 23, 2017
- University of Chicago Topology Seminar, Oct 18, 2016
- University of Illinois at Urbana-Champaign Topology Seminar, Sept. 27, 2016
- Motivic homotopy groups of spheres 2 (conference), Essen, Germany, June 2016
- Johns Hopkins University Topology Seminar, Apr. 4, 2016
- BIRS workshop on Equivariant Derived Algebraic Geometry, Feb 2016
- UBC Topology Seminar, Oct 2015
- Conference on Equivariant and Motivic Homotopy Theory, Reed College, May 2015
- Indiana University Purdue University Joint Topology Seminar, January 31, 2015
- MIT Topology Seminar, October 27, 2014
- The Ohio State University Topology Seminar, March 25, 2014
- University of Chicago Topology Seminar, May 8, 2012
- Northwestern University Topology Seminar, May 7, 2012
- BIRS workshop on Algebraic K-theory and Equivariant Homotopy Theory, Feb, 2012
- University of Kentucky, Jan. 27, 2012
- University of Illinois at Urbana-Champaign Topology Seminar, Oct. 18, 2011
- Midwest Topology Seminar, University of Chicago, Apr. 3, 2011
- University of Western Ontario Topology Seminar, Mar. 7, 2011
- University of Illinois at Urbana-Champaign Topology Seminar, Apr. 27, 2010
- Notre Dame University Topology Seminar, Dec. 8, 2009
- Johns Hopkins University Topology Seminar, Nov. 16, 2009.
- AMS Sectional Meeting, University Park, PA, Oct. 25, 2009.
- University of Illinois at Urbana-Champaign Topology Seminar, Feb. 10, 2009
- MIT Topology Seminar, Nov. 17, 2008.
- Indiana University Topology Seminar, Sept. 24, 2008.
- AMS Sectional Meeting, Bloomington, IN, Apr. 6, 2008.
- University of Michigan Topology Seminar, Jan. 10, 2008.
- Northwestern University Topology Seminar, Jan. 7, 2008.
- University of Illinois at Urbana-Champaign Topology Seminar, Nov. 27, 2007.
- Wayne State University Topology Seminar, Sept. 11, 2007.
- Wayne State University Topology Seminar, Dec. 5, 2006.

**Teaching:**

University of Kentucky:

Fall 2018 | Mathematics 123 | Elementary Calculus |

Fall 2018 | Mathematics 751 | Topics in Topology |

Spring 2018 | Mathematics 651 | Topology II |

Fall 2017 | Mathematics 113 | Calculus I |

Fall 2017 | Mathematics 551 | Topology I |

Spring 2017 | Mathematics 752 | Topics in Topology |

Fall 2016 | Mathematics 654 | Algebraic Topology |

Fall 2016 | Mathematics 261 | Introduction to Number Theory |

Fall 2015 | Mathematics 654 | Algebraic Topology |

Fall 2015 | Mathematics 322 | Matrix Algebra |

Spring 2015 | Mathematics 114 | Calculus II |

Spring 2015 | Mathematics 751 | Topics in Topology |

Fall 2014 | Mathematics 322 | Matrix Algebra |

Fall 2014 | Mathematics 551 | Topology I |

Spring 2014 | Mathematics 651 | Topology II |

Fall 2013 | Mathematics 114 | Calculus II |

Fall 2013 | Mathematics 551 | Topology I |

Spring 2013 | Mathematics 137 | Calculus I for the Life Sciences |

Spring 2013 | Mathematics 651 | Topology II |

Fall 2012 | Mathematics 322 | Matrix Algebra and Applications |

Fall 2012 | Mathematics 351 | Elementary Topology I |

University of Illinois:

Spring 2012 | Mathematics 231 | Calculus II (2 sections) |

Fall 2011 | Mathematics 241 | Calculus III |

Fall 2011 | Mathematics 225 | Introductory Matrix Theory |

Spring 2011 | Mathematics 527 | Homotopy Theory |

Spring 2011 | Mathematics 403 | Euclidean Geometry |

Fall 2010 | Mathematics 444 | Elementary Real Analysis (on R^{1}) |

Spring 2010 | Mathematics 415 | Applied Linear Algebra |

Spring 2010 | Mathematics 432 | Set Theory and Metric Spaces |

Fall 2009 | Mathematics 415 | Applied Linear Algebra |

Spring 2009 | Mathematics 535 | Point Set Topology |

Spring 2009 | Mathematics 181 | A Mathematical World |

Fall 2008 | Mathematics 415 | Applied Linear Algebra |