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Michael Cortez Ph. D.

Profile Picture

Mathematics and Statistics

Assistant Professor

Assistant Professor

Contact Information

Office Location: Animal Science (ANSC) 216
DialPhone: (435) 797-7695
SendEmail: michael.cortez@usu.edu


Educational Background

PhD, Applied Mathematics, (Ecology and Evolutionary Biology; Mathematics), Cornell University, 2011
Understanding the effects of rapid adaptation on predator-prey interactions using the theory of fast-slow dynamical systems
MS, Applied Mathematics, Cornell University, 2008
BS, Chemistry and Mathematics, Hope College, 2005

Awards

2016 USU DC Fellow, 2016

Office of Research and Graduate Studies, USU

Ecological Society of America Early Career Fellow, 2016

Ecological Society of America

Prize for an outstanding paper in ecological theory, 2012

Theoretical Ecology Section, Ecological Society of America

Publications - Abstracts

    Publications - Books & Book Chapters

      Book Chapters

    • Bultman, T.L, Sullivan, T.J, Cortez, M., Pennings, T., Andersen, J.L, (2009). Extensions to and modulation of defensive mutualism in grass endophytes. Defensive Mutualism in Symbiotic Associations. Taylor \& Francis, Boca Raton, FL

    * Has not been peer reviewed

    Publications - Fact Sheets

      * Has not been peer reviewed

      Publications - Curriculum

        * Has not been peer reviewed

        Publications - Journal Articles

          Academic Journal

        • Patel, S., Cortez, M., Schreiber, S.J, (2018). Partitioning the effects of eco-evolutionary feedbacks on community stability. American Naturalist
        • Pu, Z., Cortez, M., Jiang, L., (2017). Predator-Prey Coevolution Drives Productivity-Richness Relationships in Planktonic Systems. The American Naturalist, 189:1, 28--42.
        • Cortez, M., Patel, S., (2017). The Effects of Predator Evolution and Genetic Variation on Predator--Prey Population-Level Dynamics. Bulletin of mathematical biology, 79:7, 1510--1538.
        • Cortez, M., (2016). How the magnitude of prey genetic variation alters predator-prey eco-evolutionary dynamics. The American Naturalist, 188:3, 329--341.
        • Cortez, M., Abrams, P., (2016). Hydra effects in stable communities and their implications for system dynamics.
        • Searle, C.L, Cortez, M., Hunsberger, K.K, Grippi, D.C, Oleksy, I.A, Shaw, C.L, de la Serna, Solanus B, , Lash, C.L, Dhir, K.L, Duffy, M.A, (2016). Population density, not host competence, drives patterns of disease in an invaded community. The American Naturalist, 188:5, 554--566.
        • Cortez, M., (2015). Coevolution-driven predator-prey cycles: predicting the characteristics of eco-coevolutionary cycles using fast-slow dynamical systems theory. Theoretical ecology, 8:3, 369--382.
        • Abrams, P.A, Cortez, M., (2015). Is competition needed for ecological character displacement? Does displacement decrease competition?. Evolution, 69:12, 3039--3053.
        • Jover, L., Flores, C., Cortez, M., Weitz, J., (2015). Multiple regimes of robust patterns between network structure and biodiversity.. Scientific reports, 5, 17856--17856.
        • Abrams, P.A, Cortez, M., (2015). The many potential indirect interactions between predators that share competing prey. Ecological Monographs, 85:4, 625--641.
        • Cortez, M., Weitz, J.S, (2014). Coevolution can reverse predator--prey cycles. Proceedings of the National Academy of Sciences, 111:20, 7486--7491.
        • Taylor, B.P, Cortez, M., Weitz, J.S, (2014). The virus of my virus is my friend: ecological effects of virophage with alternative modes of coinfection. Journal of theoretical biology, 354, 124--136.
        • Cortez, M., Weitz, J.S, (2013). Distinguishing between indirect and direct modes of transmission using epidemiological time series. The American Naturalist, 181:2, E43--E52.
        • Jover, L.F, Cortez, M., Weitz, J.S, (2013). Mechanisms of multi-strain coexistence in host--phage systems with nested infection networks. Journal of theoretical biology, 332, 65--77.
        • Cortez, M., (2013). When does pathogen evolution maximize the basic reproductive number in well-mixed host--pathogen systems?. Journal of mathematical biology, 67:6-7, 1533--1585.
        • Cortez, M., (2011). Comparing the qualitatively different effects rapidly evolving and rapidly induced defences have on predator--prey interactions. Ecology letters, 14:2, 202--209.
        • Cortez, M., (2011). Understanding the effects of rapid adaptation on predator-prey interactions using the theory of fast-slow dynamical systems.
        • Cortez, M., Ellner, S.P, (2010). Understanding rapid evolution in predator-prey interactions using the theory of fast-slow dynamical systems. The American Naturalist, 176:5, E109--E127.
        • Cortez, M., Brinkmann, N.R, Polik, W.F, Taylor, P.R, Bomble, Y.J, Stanton, J.F, (2007). Factors contributing to the accuracy of harmonic force field calculations for water. Journal of chemical theory and computation, 3:4, 1267--1274.

        * Has not been peer reviewed

        Publications - Literary Journal

          * Has not been peer reviewed

          Publications - MultiMedia

            * Has not been peer reviewed

            Publications - Technical Reports

              * Has not been peer reviewed

              Publications - Translations & Transcripts

                Publications - Other

                  Other

                * Has not been peer reviewed

                Scheduled Teaching

                MATH 2270 - Linear Algebra, Fall 2017

                MATH 5410 - Methods of Applied Mathematics, Fall 2017

                MATH 2270 - Linear Algebra, Fall 2016

                MATH 5410 - Methods of Applied Mathematics, Fall 2016

                MATH 6910 - Directed Reading and Conference, Spring 2016

                MATH 6910 - Directed Reading and Conference, Spring 2016

                MATH 6910 - Directed Reading and Conference, Spring 2016

                MATH 2270 - Linear Algebra, Spring 2016

                MATH 2270 - Linear Algebra, Fall 2015

                MATH 1220 - Calculus II, Spring 2015

                MATH 1220 - Calculus II, Spring 2015


                Graduate Students Mentored