Elizabeth Gross

• [email protected] • http://www.math.sjsu.edu/∼egross

Education 2013 PhD, Mathematics, University of Illinois at Chicago. 2010 MA, Mathematics, San Francisco State University. 2003 BS, Mathematics, California State University, Chico.

Appointments 2014 - Assistant Professor, San José State University. Fall 2014 Visiting Scholar, Simons Institute of Computing, UC Berkeley, Program on Al- gorithms and Complexity in Algebraic Geometry. 2013 - 2014 NSF Postdoctoral Fellow, North Carolina State University. 2012–2013 Dean’s Scholar, University of Illinois at Chicago. 2011–2012 Research Assistant, Penn State. Visiting Student in the Statistics Department. 2009–2011 Graduate Teaching Assistant, University of Illinois at Chicago. 2008–2009 Graduate Teaching Assistant, San Francisco State University.

Publications Preprints The multiple roots phenomenon in maximum likelihood estimation for factor analysis, with Sonja Petrovic, Donald Richards, and Despina Stasi, Sub- mitted to Advanced Studies in Pure Mathematics. Neural ideals and stimulus space visualization, with Nida Kazi Obatake and Nora Youngs, arXiv:1607.00697. What makes a neural code convex?, with Carina Curto, Jack Jeﬀries, Katherine Morrison, Mohamed Omar, Zvi Rosen, Anne Shiu, and Nora Youngs, arXiv:1508.00150, Submitted to SIAM Journal on Applied Algebra and Geometry. Bertini for Macaulay2, with Daniel J. Bates, Anton Leykin, and Jose Israel Rodriguez, arXiv:1310.3297, Submitted to Journal of Software for Algebra and Ge- ometry. Peer-reviewed Numerical algebraic geometry for model selection and its applications to the life sciences, with Brent Davis, Kenneth L. Ho, Daniel J. Bates, and Heather A. Harrington, J. of the Royal Society Interface, to appear, arXiv:1507.04331. The maximum likelihood threshold of a graph, with Seth Sullivant, Bernoulli, to appear, arXiv:1404.6989. Goodness-of-ﬁt for log-linear network models: Dynamic Markov bases using hypergraphs, with Sonja Petrović and Despina Stasi, Annals of the Institute of Statistical Mathematics, to appear, published on-line April 2016.

1/6 Algebraic systems biology: A case study for the Wnt Pathway, with Heather Harrington, Zvi Rosen, and Bernd Sturmfels, Bulletin of Mathematical Biology 78 (2016) 21–51. Maximum likelihood geometry in the presence of data zeros, with Jose Israel Rodriguez, ISSAC 2014 Conference Proceedings. Combinatorial degree bound for toric ideals of hypergraphs, with Sonja Petrović, Intl. Journal of Algebra and Computation 23, (2013), 1503-1520. Interfacing with PHCpack, with Sonja Petrović and Jan Verschelde, Journal of Software for Algebra and Geometry, 5 (2013) 20-25. Maximum likelihood degree of variance component models, with Mathias Drton and Sonja Petrović, Electronic Journal of Statistics, 6, (2012), 993-1016. A proof of the set-theoretic version of the salmon conjecture, with Shmuel Friedland, Journal of Algebra 356, (2012), no.1, 374-379.

Reports & Articles Discussing the Proof of the Global Attractor Conjecture, with Matthew Johnston and Nicolette Meshkat, SIAM News, July/August 2016. Social Networks of Mobile Money in Kenya, with Sibel Kusimba, Harpieth Chaggar, and Gabriel Kunyu, Working Paper, Institute for Money, Technology, and Financial Inclusion (2013).

Software Packages Bertini.m2, with Daniel J. Bates, Anton Leykin, and Jose Israel Rodriguez, A Macaulay2 interface for Bertini. PHCPack.m2, with Sonja Petrović and Jan Verschelde, A Macaulay2 interface for PHCPack. Available with Macaulay2 v.1.4.

Awards 2016 Release Time Award for Scholarly Activity, San José State University. Competitive award sponsored by the College of Science 2015 Release Time Award for Scholarly Activity, San José State University. Competitive award sponsored by the College of Science 2013 NSF Mathematical Sciences Postdoctoral Research Fellowship. 2012 Dean’s Scholar Award, University of Illinois at Chicago. Merit fellowship sponsored by the Graduate College 2010 MSCS Graduate Student Teaching Award, University of Illinois at Chicago. Departmental award for excellent teaching by a teaching assistant 2008 Sergio Martins Memorial Scholarship, San Francisco State University. Merit scholarship sponsored by the Mathematics Department 2008 Robert W. Maxwell Memorial Scholarship, San Francisco State University. Merit scholarship sponsored by the College of Science and Engineering

Grants, Travel Awards, and Research Support

2/6 2016-2019 NSF 14-579, Computational Mathematics, $133,547, Title: Computational algebraic geometry and combinatorial algorithms for neuroscience and biological networks, DMS-1620109. 2016 Woodward Grant, SJSU, $1200. 2016 Proposal selected for AMS Mathematical Research Community workshop, Full support for 40 participants for week-long workshop in Snowbird, UT, stipends for TAs and organizers, awarded with Mathias Drton, Serkan Hoşten, David Kahle, and Sonja Petrović. 2015-2017 Proposal selected for AIM SQuaRE, Three weeks of support (travel, housing, meeting space) over 3 years for a group collaboration, awarded with Luis Garcia- Puente, Heather Harrington, Nicolette Meshkat, Anne Shiu. 2015 Travel funds awarded through the College of Science at SJSU, $1200. 2015 Travel Grant to attend SIAM Conference on Applied Algebraic Geome- try in Daejeon, South Korea, $1350. 2015 Travel Support for the Joint Mathematical Meetings, $800. 2015 MRC Collaboration Grant, $1200, awarded with Nora Youngs, Jack Jeﬀries, Keivan Monfared, Katie Morrison, Mohamed Omar, Zvi Rosen, Anne Shui, and Yan Zhang. 2014 Travel Grant to attend Foundations of Computational Mathematics 2014 in Montevideo, Uruguay, $1200. 2014 Travel Support for Geometric Topological and Graphical Model Methods in Statisitics Workshop at the Fields Institute, $950. 2014 Travel Support for Algebraic Statistics 2014 at the Illinois Institute of Technology, $250. 2014 Travel Support to attend Computational Algebraic Statistics, Theories and Applications in Kyoto, Japan, $1000.

Organizing activities July 2016 Minisymposium on Algebraic Statistics, SIAM Annual Meeting, Boston, MA, Organizer with Jose Rodriguez. Jun 2016 AMS Mathematical Research Community Workshop on Algebraic Statis- tics, Snowbird, Utah, Organizer with Mathias Drton, Serkan Hoşten, David Kahle, and Sonja Petrović. Mar 2016 Global Attractor Conjecture Workshop, SJSU, Organizer with Matthew John- ston, Nicolette Meshkat, and Bernd Sturmfels. 2015–current Bay Area Discrete Math Day, Biannual conference in the San Francisco bay area, Member of Organizing Committee. Aug 2015 Minisymposium on Software and Applications in Numerical Algebraic Geometry, SIAM Conference on Applied Algebraic Geometry, Dajeon, South Ko- rea, Organizer with Daniel Brake. 2014–current Combinatorics Seminar, SJSU, Organizer. Oct 2014 Special Session on Algebraic Statistics, AMS Fall Western Sectional Meeting, San Francisco State University, Organizer with Kaie Kubjas.

3/6 Talks and Presentations Jun 2016 Algebraic Systems Biology, Model Selection and Parameter Estimation, Georgia Tech, Atlanta, GA. Apr 2016 Toric Ideals of Neural Codes, AMS Central Sectional Meeting, Special Session on Combinatorial Ideals and Applications, North Dakota State University, Fargo, ND. Mar 2016 Model selection in systems biology with numerical algebraic geometry, AMS Southeastern Section Meeting, Special Session on Discrete and Applied Alge- braic Geometry, University of Georgia, Athens, GA. Feb 2016 The maximum likelihood threshold of a graph, Berkeley Applied Algebra Seminar, UC Berkeley, Berkeley, CA. Jan 2016 On the persistence and global stability of mass-action systems (an ex- pository talk), Seminar on the Mathematics of Biochemical Reaction Networks, UC Berkeley, Berkeley, CA. Nov 2015 The maximum likelihood threshold of a graph, Applied Mathematics and Statistics Seminar, UC Santa Cruz, Santa Cruz, CA. Oct 2015 The maximum likelihood threshold of a graph, AMS Fall Central Section Meeting, Special Session on Algebraic Statistics and its Interactions with Combi- natorics, Computation, and Network Science, Loyola University, Chicago, IL. Sept 2015 Statistical network models, Colloquium, Sonoma State University, Rohnert Park, CA. Aug 2015 Model selection in systems biology with numerical algebraic geometry, SIAM Conference on Applied Algebraic Geometry (AG15), Minisymposium on Maximum Likelihood Degrees and Critical Points, Daejeon, South Korea. Jul 2015 The maximum likelihood threshold of a graph, 2015 ISI World Statistics Congress, Special Topic Session on Algebraic and Geometric Approaches to Graph- ical Models, Rio de Janeirio, Brazil. Jul 2015 Toric ideals from neural codes, Current Trends on Gröbner Bases – The 50th Anniversary of Gröbner Bases, Osaka, Japan. Jun 2015 Maximum likelihood threshold of a graph, Algebraic Statistics 2015, Univer- sity of Genoa. Apr 2015 Model selection using numerical algebraic geometry in systems biology, 2015 Meeting of the MAA Rocky Mountain Section celebrating 100th Anniversary of the MAA, Special Session on Numerical Algebraic Geometry, Colorado College. Apr 2015 Goodness-of-ﬁt testing for network models, Colloquium, Santa Clara Univer- sity. Apr 2015 Algebraic systems biology, Commutative Algebra and Algebraic Geometry Sem- inar, UC Berkeley. Mar 2015 Goodness-of-ﬁt testing for network models, Large Structures Seminar, Aalto University. Nov 2014 Tensors in algebraic statistics, Symbolic and Numerical Methods for Tensors and Representation Theory Workshop, Simons Institute, UC Berkeley. Nov 2014 Solving the likelihood equations for Gaussian graphical models, Polyno- mial Solving Seminar, Simons Institute, UC Berkeley.

4/6 Oct 2014 Sampling zeros, model zeros, and maximum likelihood degrees, AMS Fall Western Sectional Meeting, Special Session on Computational Algebraic Geometry and Applications in Science and Engineering, San Francisco State University. Oct 2014 Statistical network models, Colloquium, San José State University. Sept 2014 Goodness-of-fit testing for network models, Bay Area Discrete Math Day, Stanford University. May 2014 Goodness-of-fit testing for log-linear network models, Geometric Topologi- cal and Graphical Model Methods in Statisitics, The Fields Institute. May 2014 Statistical dimension and conic geometry of Gaussian graphical models, Low-dimensional Structure in High-dimensional systems: Transition Workshop, SAMSI. Mar 2014 Singular learning theory, Algebra Seminar, Georgia Tech. Jan 2014 Sampling zeros, model zeros, and maximum likelihood degrees, Compu- tational Algebraic Statistics, Theories and Applications, Kyoto, Japan. Oct 2013 Goodness-of-fit testing for social network models, Symbolic Computation Seminar, North Carolina State University. Oct 2013 Determining Phylogenetic Invariants, Applied Algebra Minisymposium, Uni- versity of Wisconsin. Oct 2013 Determining Phylogenetic Invariants, Algebraic Statistics Seminar, Illinois Institute of Technology. Aug 2013 Combinatorial Degree Bound for Toric Ideals of Hypergraphs, SIAM Min- isymposium on Computations and Effective Bounds in Commutative Algebra, Fort Collins, CO. Aug 2013 A set-theoretic proof of the salmon conjecture, SIAM Minisymposium on Algebro-geometric Approaches to Tensor Spaces, Tensor Decomposition, and Iden- tifiability, Fort Collins, CO. Mar 2013 Phylogenetic ideals, Algebra-Geometry-Combinatorics Seminar, San Francisco State University. Feb 2013 Maximum likelihood degree of the variance components model, FRAG- MENT seminar, Colorado State University. Dec 2012 Combinatorics of toric ideals of hypergraphs, Graduate Seminar, MSRI. Sept 2012 Toric ideals of hypergraphs, Commutative Algebra and Algebraic Geometry Seminar, UC Berkeley. Jun 2012 Markov complexity of hypergraphs, Algebraic Statistics in the Alleghenies, Penn State. Apr 2012 Toric ideals of hypergraphs, USTARS, University of Iowa. Apr 2012 Social networks as random graphs, SNA Seminar, The Field Museum, Chicago, Illinois. Mar 2012 Markov complexity of hypergraphs, Symbolic Computation Seminar, North Carolina State University. Oct 2011 Dynamic Markov bases, SIAM Conference on Computational Science, Illinois Institute of Technology. Oct 2011 Maximum likelihood degree for the random effects model (Poster), SIAM Conference on Applied Algebraic Geometry, North Carolina State University.

5/6 Oct 2010 Maximum likelihood degree for the random eﬀects model, Midwest Alge- braic Geometry Graduate Conference, University of Wisconsin–Madison.

Journals Refereed Bernoulli. Statistics and Probability Letters. Foundations of Computational Mathematics. Bulletin of Mathematical Biology. SIAM Journal on Discrete Mathematics. Journal of Algebra. Journal of Algebraic Statistics.

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