Jose Israel Rodriguez 

JoIsRo at UChicago dot edu Affiliation University of Chicago,
Advisors and Mentors Postdoc Mentor: LekHeng Lim Previous Mentor: Jonathan Hauenstein PhD Advisor: Bernd Sturmfels Undergraduate Advisor: Eric Katz Organizing/Software


I am a University of Chicago Provost's Career Enhancement Postdoc working with LekHeng Lim after transitioning from a NSF Postdoc. My previous postdoc was at the Simon's Institute and University of Notre Dame with Jonathan Hauenstein. In May 2014, I graduated from UC Berkeley with a PhD in mathematics. My thesis is titled Numerical algebraic geometry for maximum likelihood estimation, and my advisor was Bernd Sturmfels. My interests are in applied algebraic geometry and algebraic statistics. In particular, I am interested in developing numerical algorithms to solve systems of polynomial equations. Here is a link to a talk at the Simons Institute about my thesis work: Link.
Weekly Seminars: Mon: 45pm Tues: 23pm 4:306pm Thurs: 4:30pm 

New SIAM Journal in Applied Algebra and Geometry (SIAGA). See Seven Pictures and Tomorrow.


Research and Writings
Solving parameterized polynomial system with decomposable projections.
Trace test.
Numerical computation of Galois groups.
Numerical irreducible decomposition of multiprojective varieties.
The maximum likelihood degree of mixtures of independence models.
A Probabilistic Algorithm for Computing DataDiscriminants of Likelihood Equations.
Journal of Symbolic Computation (2016)
The maximum
likelihood data singular locus, Journal of Symbolic Computation.
Critical points
via monodromy and local methods, Journal of Symbolic Computation.
Data discriminants of likelihood equations, ISSAC'15.
Maximum likelihood for dual varieties. SNC '14 Proceedings of the 2014 Symposium on SymbolicNumeric Computation (2014)
Pages 4349.
Maximum likelihood geometry in the presence of data zeros. ISSAC '14 Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation
(2014) Pages 232239.
Numerical algebraic geometry is the field of computational mathematics concerning the numerical solution of polynomial systems of equations. Bertini, a popular software package for computational applications of this field, includes implementations of a variety of algorithms based on polynomial homotopy continuation. The Macaulay2 package Bertini.m2 provides an interface to Bertini. Maximum Likelihood Duality for Determinantal Varieties. Int Math Res Notices. We prove that the maximumlikelihood degree of the variety of rankr matrices equals that of the variety of corank (r1)matrices; and also establish variants for symmetric and skewsymmetric matrices. Maximum Likelihood for Matrices with Rank Constraints. Journal of Algebraic Statistics. We use numerical algebraic geometry to find maximum likelihood degrees of determinantal varieties and show these techniques can be useful for statisticians.
Combinatorial Excess Intersection. Journal of Symbolic Computation.
A novel method for the solution of the forward displacement problem of spherical parallel manipulators.
ZAMM Z. Angew. Math. Mech.
Bounding The Degree of Belyi Polynomials. J. Number Theory vol. 133 (2013), no. 9, 28922900.


Recent whereabouts, visitors, and advertisementsMRC: Algebraic Statistics: June 1218, 2016 Snowbird Resort, Utah.Applications of Algebraic Methods to Statistics: (Depart June 18) June 1925, 2016 Research Institute of Mathematical Science of Kyoto University, Kyoto, Japan. Visiting NIMs: June 25July 6, 2016 Daejeon, South Korea. SIAM Annual Meeting: July 1114, 2016 Westin Boston Waterfront, Boston, Massachusetts. Algebraic Statistics Session: July 11, 2016 Westin Boston Waterfront, Boston, Massachusetts. XXI Coloquio Latinoamericano de Álgebra : (Depart July 26) July 2729, 2016 Buenos Aires, Argentina. Computational Algebra, Algebraic Geometry and Applications : August 13, 2016 Buenos Aires, Argentina. Research Seminar: (Bay area Sept 1621) September 19, 2016 San Jose State University, San Jose, CA. Algebra, Geometry, and Combinatorics Seminar: September 21, 2016 San Francisco State University, San Francisco, CA. Fall Western Sectional Meeting: (Depart Oct 7) October 812, 2016 University of Denver, Denver, CO. AMS special on Applied Algebraic Geometry: November 1213, 2016 North Carolina State University in Raleigh, North Carolina. JMM17: Num AG Special Session: Thursday January 5 (Conference January 47), 2017 Hyatt Regency Atlanta and Marriott Atlanta Marquis, Atlanta, GA. JMM17: MRC Alg Stat Special Session: Thursday January 5 (Conference January 47), 2017 Hyatt Regency Atlanta and Marriott Atlanta Marquis, Atlanta, GA. Scientific and statistical computing seminar: February 2, 2017 Univeristy of Chicago, Chicago IL. Colloquium: March 10, 2017 University of Chicago, Chicago, Illinois. Algebraic Geometry Seminar: April 4, 2017 (Return April 5) The Ohio State University, University in Columbus, Ohio. Oberwolfach: Algebraic Statistics : (Depart Apr 15, Return Apr 24) April 16  April 22, 2017 Oberwolfach, Germany. Workshop on optimization and machine learning: May 18, 2017 Kellogg Conference Center, Northwestern University (Advertisement, registration deadline April 17). SACNAS : May 19May 20, 2017 University of Chicago (Advertisement). Engineering and Comp Math in Hong Kong : May 31June 2, 2017 The Hong Kong Polytechnic University (Advertisement). Polynomials, Kinematics, and Robotics : June 57, 2017. MEGA 2017 : June 1216, 2017 Sophia Antipolis University, Nice, France (Advertisement). String Phenomenology Conference (StringPheno 2017) : July 37, 2017 Virginia Tech, Blacksburg, Virginia. Foundations of Computational Mathematics Conference 2017 : (Depart July 8) July 10 July 19, 2017 Barcelona, Spain (Advertisement). Tensors and their uses in approximation theory, quantum information theory and geometry : July 2428, 2017 Auburn University. ISSAC 2017 : July 2528, 2017 Kaiserslautern, Germany (Advertisement). JSM 2017 : July 29  August 3, 2017 Baltimore, Maryland (Advertisement). SIAM Conference on Applied Algebraic Geometry (AG17) : July 31August 4, 2017 Georgia Institute of Technology, Atlanta, Georgia. AMS Special Session on Applicable and Computational Algebraic Geometry : September 910, 2017 University of North Texas, Denton TX. ICERM Semester Program on Nonlinear Algebra : Sept 5  Dec 7, 2018 ICERM, Brown University, Providence, RI (Advertisement). Latinos in the Mathematical Sciences Conference 2018 : March 8  10, 2018 IPAM, UCLA (Advertisement). 

Mentoring and Past TeachingMRC: Algebraic Statistics: Teaching Assistant: June 1218, 2016 Snowbird Resort, Utah. Berkeley Science Network The UC Berkeley McNair Scholars Program Sections of Math 1B with Professor Serganova (Fall 2013). Sections of Math 1B with Professor Christ (Spring 2013). Go to top 

Invited Talks and Seminars (Feb 2017) Scientific and Statistical Computing Seminar, University of Chicago, Chicago,IL. (Jan 2017) Numerical Algebraic Geometry Day, Georgia Tech, Atlanta, GA.  (Jan 2017) JMM17: Num AG Special Session, Hyatt Regency Atlanta and Marriott Atlanta Marquis, Atlanta, GA.  (Nov 2016) AMS special on Applied Algebraic Geometry, North Carolina State University in Raleigh, North Carolina.  (Oct 2016) AMS special on Foundations of Numerical Algebraic Geometry, University of Denver, Denver, CO.  (Sep 2016) Algebra, Geometry, and Combinatorics Seminar, San Francisco State University, San Francisco, CA.  (Jul 2016) XXI Coloquio Latinoamericano de Álgebra , Buenos Aires, Argentina.  (July 2016) SIAM Annual Meeting: Special Session on Algebraic Statistics, Boston, MA.  (July 2016) Lectures on Numerical Algebraic Geometry, NIMS at Daejeon, South Korea.  (June 2016) Introducing the GMM degree, Research Institute of Mathematical Science of Kyoto University, Kyoto, Japan.  (May 2016) Varieties, Equations, and Monodromy, NIMS at Daejeon, South Korea.  (April 2016) Applied Algebraic Geometry Seminar, University of WisconsinMadison.  (December 2015) Algorithms and Complexity in Algebraic Geometry Reunion Workshop, Simons Institute, Berkeley, CA.  (December 2015) Workshop on Algebra, Geometry and Proofs in Symbolic Computation, The Fields Institute, Toronto, Canada.  (November 2015) Algebraic Geometry Seminar , Stanford University, Stanford, California.  (November 2015) Colloquium , Santa Clara University, Santa Clara, California.  (November 2015) Geometry Seminar , Texas A&M, College Station, Texas.  (October 2015) AMS Sectional Meeting: Algebraic statistics and its interactions with combinatorics, computation, and network science session , Loyola University, Chicago, Illinois.  (October 2015) Dickson Day , University of Chicago, Chicago, Illinois.  (August 2015) Algebraic Computational Biology Seminar, Pennsylvania State University, State College, Pennsylvania.  (August 2015) SIAM Conference on Applied Algebraic Geometry Minisymposium: Maximum Likelihood Degrees and Critical Points MiniSymposium, National Institute for Mathematical SciencesDaejeon, South Korea.  (August 2015) SIAM Conference on Applied Algebraic Geometry Minisymposium:Group actions in algebraic geometry and commutative algebra , National Institute for Mathematical SciencesDaejeon, South Korea.  (July 2015) Seminar Week on Applied Algebraic Geometry , National Institute for Mathematical SciencesDaejeon, South Korea.  (June 2015) Discrete Math Seminar , Technische Universiteit Eindhoven, Eindhoven, Netherlands.  (June 2015) Algebraic Statistics, Genoa, Italy.  (June 2015) Algebra and Geometry Seminar, University in Leuven, Belgium.  (May 2015) GOAL Workshop, University of California, Berkeley.  (May 2015) Algebra, Geometry, and Combinatorics Seminar, University of Illinois at Urbana–Champaign.  (March 2015) Algebraic Geometry Seminar, University of WisconsinMadison.  (February 2015) Algebraic Geometry/Commutative Algebra Seminar, University of Notre Dame.  (February 2015) Algebraic Geometry and Number Theory Seminar, Rice University.  (January 2015) Topology and Combinatorics Seminar, Freie Universität Berlin.  (December 2014) Colloquium, University of Texas at Dallas.  (October 2014) Algebraic Statistics Special Section, AMS Fall Western Sectional Meeting.  (October 2014) Computational Algebraic Geometry and Applications in Science and Engineering Special Section, AMS Fall Western Sectional Meeting, SS17A.  (October 2014) Solving Polynomial Equations Conference, Simons Institute, Berkeley, California.  (August 2014) ICMS 2014 Session: Software for Numerical Algebraic Geometry, Hanyang University, Seoul, Korea.  (July 2014) Symbolic Numeric Computation 2014, East China Normal University, Shanghai, China.  (July 2014) International Symposium on Symbolic and Algebraic Computation 2014, Kobe, Japan.  (June 2014) Algebraic Geometry Seminar, Korea Institute for Advanced Study, Seoul, Korea.  (June 2014) Optimization and Algebraic Geometry, NIMS at Daejeon, South Korea.  (May 2014) Applied Algebra Days 2, University of Madison at Wisconsin.  (April 2014) Tropical April, University of California at Berkeley.  (April 2014) Algebraic Statistics Seminar, Illinois Institute of Technology.  (March 2014) Algebraic Statistics Seminar, University of California at Berkeley.  (August 2013) Symbolic Computation Seminar, North Carolina State University.  (August 2013) Algebra Seminar, Georgia Institute of Technology, Atlanta.  (August 2013) SIAM Conference of Applied Algebraic Geometry , Colorado State University.  (July 2013) Computational Algebra Seminar, Max Planck Institute for Mathematics, Bonn.  (July 2013) Algebra Seminar, Universitat des Saarlandes.  (July 2013) Discrete Mathematics Seminar, GoetheUniversitat.  (July 2013) Algebra Seminar, Universitat Konstanz.  (June 2013) Effective Methods in Algebraic Geometry, GoetheUniversitat.  (April 2013) Graduate Student Combinatorics Conference, University of Minnesota, Twin Cities.  (March 2013) Math/ICES Center of Numerical Analysis Seminar, University of Texas at Austin.  (March 2013) Colloquium, Sam Houston State University.  (March 2013) AVID Program Seminar, Grand Prairie High School.  (March 2013) SIAM Student Chapter Seminar, Texas Tech University.  (March 2013) Colloquium, Southern Methodist University.  (March 2013) Algebraic Statistics Workshop, University of California at Berkeley.  (March 2013) AGC Seminar, San Francisco State University.  (March 2013) Algebra and Discrete Mathematics, University of California at Davis.  (February 2013) SIAM Student Chapter Seminar, University of California at Berkeley.  (February 2013) FRAGMENT Seminar, Colorado State University.  (February 2013) Colloquium, University of Colorado at Boulder. Go to top 

Quick LinksBooks: Numerically Solving Polynomial Systems with Bertini The Numerical Solution of Systems of Polynomials Arising In Engineering and Science Algebra Pure and AppliedSetup: Configure Xmail Lyx shortcut file UofC Website Macaulay2 Bertini Cyberduck Institutes: Fields Simons NIMS MSRI Other: Kaggle Data Science Advice: Heilmeier's Catechism Serre on writing YouTube: Solving Polynomials Tensor Decomposition Condition Proof by contradiction Conferences: ISSAC SNC SYNASC AG Conferences
Fellow McNair Scholars: Oscar D. Ayala Kyle Hale Martinque 'Marti' Jones Esmeralda Rodriguez 

Past WhereaboutsMathematics Colloquium: December 1, 2014 UT Dallas.Top Com Seminar: January 7, 2015 Freie Universität Berlin. Algebraic Geometry and Number Theory Seminar: February 3, 2015 Rice University, Houston. Algebraic Geometry/Commutative Algebra Seminar: February 25, 2015 University of Notre Dame. Algebraic Geometry Seminar: March 13, 2015 University of WisconsinMadison. Algebra, Geometry, and Combinatorics Seminar: May 1, 2015 UIUC. GOAL workshop: May 1819, 2015 University of California, Berkeley. UC Berkeley Commencement: May 2223, 2015 University of California, Berkeley. Tropical Doener Workshop: May 2728, 2015 Freie Universität Berlin, Germany. Workshop on NonLinear Algebra: May 2930, 2015 in Berlin, Germany. GAeL XXIII: June 15, 2015 KU Leuven, Belgium. Algebraic Statistics 2015: June 811, 2015 in Genoa, Italy. MEGA 2015: Effective Methods in Algebraic Geometry: June 1519, 2015 at The University of Trento, Povo (Trento), Italy. Eindhoven Discrete Math Seminar : June 24, 2015 Technische Universiteit Eindhoven, Eindhoven, Netherlands. ISSAC 2015: July 79, 2015 The University of Bath, Bath, UK. SWAAG: July 1317, 2015 NIMS, Daejeon, South Korea. Applied Algebraic Geometry Workshop: July 30, 2015 Daegu Gyeongbuk Institute of Science and Technology, Daegu, South Korea. SIAM AG15: August 0307, 2015. I coorganized a minisymposium Maximum Likelihood Degrees and Critical Points. Dickson Day: October 2, 2015 University of Chicago, Chicago, IL. AMS Sectional Meeting: Algebraic statistics and its interactions with combinatorics, computation, and network science session: October 34, 2015 Loyola University, Chicago, IL. Geometry Seminar : November 13, 2015 Texas A&M, College Station, Texas. Colloquium : November 1618, 2015 Santa Clara University, Santa Clara, California. California Alliance visit to Stanford : November 1824, 2015 Stanford University, Stanford, California. Algebraic Geometry Seminar : November 20, 2015 Stanford University, Stanford, California. Workshop on Algebra, Geometry and Proofs in Symbolic: December 613, 2015 The Fields InstituteToronto, Canada. Algorithms and Complexity in Algebraic Geometry Reunion Workshop: December 1417, 2015 Simons Institute, Berkeley, CA. Joint Mathematics Meetings: January 69, 2016 Washington State Convention Center, Seattle, WA. Timo de Wolff: Feb 1112, 2016 (Visiting University of Chicago). John Lesieutre: Feb 17, 2016 (Visiting University of Chicago). Martin Helmer: Feb 2327ish, 2016 (Visiting University of Chicago). Luke Oeding: Mar 912, 2016 (Visiting University of Chicago). Applied Algebra Seminar: Apr 7, 2016 University of WisconsinMadison, Madison, Wisconsin. Botong Wang: April 27, 2016 (Visiting University of Chicago). Applied Algebra Days 3: Apr 29May 1, 2016 University of WisconsinMadison, Madison, Wisconsin. Special session for applied algebraic geometry: (Depart May 13) May 14May 22, 2016 KSIAM Daejeon, Korea. Bertini Workshop: May 2325, 2016 Notre Dame University, Notre Dame, Indiana. Spring Research Conference 2016: May 2527, 2016 Illinois institute of Technology, Chicago, Illinois. 