Jose Israel Rodriguez 

Contact and Info Jose@math.wisc.edu Univ. of Wisconsin  Madison
CV (4/5/21) Travel (Recent)
Affiliations Primary: Department of MathematicsAdditional: Department of Electrical & Computer Engineering; Institute for Foundations of Data Science Students Julia Lindberg (joint with B. Lesieutre) Zinan WangPhD (2014) Advisor Past Postdoc Mentors (U of Chicago) LekHeng Lim (Notre Dame) Jonathan Hauenstein Upcoming and Recently OrganizedMonodromy and Galois groups in Enumerative Geometry and Applications (08/3109/02) With Frank Sottile and Alex Esterov. Local Seminars and Events Organized Minisymposia Organized Applications of Algebra: AMS19
Algebraic statistics: Likelihood Geometry and Maximum Likelihood Degrees SIAM AG17 SIAM AG15 Numerical methods in algebraic geometry Software
Decomposable Sparse Polynomial Systems


In Fall 2020 I started a tenure track position at UW Madison.
Research Interests My interests are broadly in applied algebraic geometry and algebraic methods for statistics. In particular:A list of collaborators.
Teaching
Fall 2019: Applied Linear Algebra Reading courses 2019:
Undergraduate Research and Reading Collaborative Undergraduate Research Laboratory (CURL): This course ran Spring 2020, and applications were found here. I am available for directed reading courses on Ideal, Varieties, and Algorithms (introduction to computational algebraic geometry), Algebraic Statistics, solving polynomial systems, and Numerically solving polynomial systems. 

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


Preprints
[37] Data loci in algebraic optimization
[36] Decomposable Sparse Polynomial Systems
[35] A Morse theoretic approach to nonisolated singularities and applications to optimization
[34] Solving Decomposable Sparse Systems
[33]
Numerical algebraic geometry for generalized method of moments.
[32]
Defect of Euclidean distance degree.
(2019)
[31]
Fiber product homotopy method for multiparameter eigenvalue problems.
(2018)
[30]
Numerical computation of
braid groups.
(2017)
[29]
Accurate Solutions of Polynomial Eigenvalue Problems.
(2017)
[28]
Solving parameterized polynomial system with decomposable projections.
(2017)
[27]
Bertini for Macaulay2.
(2015)
Publications
[26] A numerical approach for computing Euler characteristics of affine varieties
(Lecture Notes in Computer Science, 2020)
[25] Algebraic Optimization Degree
(To appear in the 2020 ISSAC Proceedings).
[24]
A numerical toolkit for multiprojective varieties. (2020, Accepted to mathematics of computation)
[23] Multiregeneration for polynomial system solving
(To appear in the 2020 ISSAC Proceedings).
[22]
Euclidean distance degree
of projective varieties.
(2020, Accepted to IMRN)
[21]
The algebraic matroid of the funtf variety
(Accepted 2020, Journal of Pure and Applied Alegebra) [20]
Computing Euler
obstruction functions using maximum likelihood degrees.
(Accepted 2019, IMRN)
[19]
Euclidean distance degree of the multiview variety.
(SIAM SIAGA) We generalize regeneration, the trace test, and numerical irreducible decomposition to the multiprojective case. Applications include Alt's problem and tensor decomposition.
[17]
Homogenized funtf varieties and algebraic frame completion.
[16]
Solving the likelihood equations to compute Euler obstruction functions.
Mathematical Software  ICMS 2018,
Proceedings volume 10931
of Lecture Notes in Computer Science. Springer, pages 405413, 2018.
[15]
Trace test.
Accepted to the Arnold Mathematical Journal. (2018)
[14]
The Maximum Likelihood
Degree of Toric Varieties. Accepted to Journal of Symbolic Computation.
(2018)
[13]
The maximum likelihood degree of mixtures of independence models.
SIAM J. Appl. Algebra Geometry, 1(1), 484506. (23 pages)
[12]
Numerical computation of Galois groups.
Accepted to Foundations of Computational Mathematics (2017)
[11]
A Probabilistic Algorithm for Computing DataDiscriminants of Likelihood Equations.
Journal of Symbolic Computation
Volume 83, NovemberDecember 2017, Pages 342364
[10]
The maximum
likelihood data singular locus,
Journal of Symbolic Computation
Volume 79, Part 1, MarchApril 2017, Pages 99107.
[9]
Critical points
via monodromy and local methods,
Journal of Symbolic Computation.
Volume 79, Part 3, MarchApril 2017, Pages 559574
[8]
Data discriminants of likelihood equations, ISSAC '15 Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation
Pages 307314
[7]
Maximum likelihood for dual varieties. SNC '14 Proceedings of the 2014 Symposium on SymbolicNumeric Computation (2014)
Pages 4349.
[6]
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.
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. [4] Maximum Likelihood for Matrices with Rank Constraints. Journal of Algebraic Statistics, Volume 5, Number 1, Pages 1838. We use numerical algebraic geometry to find maximum likelihood degrees of determinantal varieties and show these techniques can be useful for statisticians.
[3]
Combinatorial Excess Intersection.
Journal of Symbolic Computation
Volume 68, Part 2, MayJune 2015, Pages 297307
[2]
A novel method for the solution of the forward displacement problem of spherical parallel manipulators.
ZAMM Z. Angew. Math. Mech.
Volume 93, Issue 1,
January 2013,
Pages 7382
[1]
Bounding The Degree of Belyi Polynomials. J. Number Theory vol. 133 (2013), no. 9, 28922900.


Travels, visitors, and advertisementsPACM IDeAS : Feb 26  Feb 28, 2019 Princeton University, Princeton, NJ.Special Session on Applications of Algebraic Geometry : Mar 1517, 2019 AMS Sectional, Auburn University, Auburn, AL. Junior Colloquium Series : Apr 12, 2019 University of Michigan, Ann Arbor, MI. SIAM AG:19 : July 913, 2019 University of Bern, Bern, Switzerland. ICIAM : July 1519, 2019 Valencia, Spain. SIAM PNW : Oct 18  Oct 20, 2019 Seattle, WA. Oberwolfach: Algebraic Statistics : Oberwolfach, Germany, March 1521, 2020. Einstein Workshop: Nonlinear Algebra : TU Berlin, Berlin, Germany, March 2627, 2020. AMS Special Session: Algebraic geometry in statistics and machine learning : Fresno, CA, May 23, 2020. Macaulay 2 Workshop (Virtual): Algebraic Statistics Group : Cleveland State University, Cleveland, Ohio, May 1115, 2020. (Rescheduled COVID19) HHXXI 2020  Householder Symposium XXI : Hotel Sierra Silvana, Selva di Fasano (Br), Italy, 1419 June 2020. Algebraic Statistics 2020 (Virtual) : University of Hawai'i at Manoa Honolulu, HI, June 22  June 26, 2020 ICMS (Virtual) : Braunschweig, 1316 July 2020. ISSAC (Virtual) : Kalamata, Messinia, Greece, 2023 July 2020. Algebraic Statistics 2021 : University of Hawai'i at Manoa Honolulu, HI, May 17  May 21, 2021. 

 
 
Fellow McNair ScholarsOscar D. Ayala Kyle Hale Martinque 'Marti' Jones Esmeralda Rodriguez 

Past WhereaboutsMathematics Colloquium: December 1, 2014 UT Dallas.Top Com Seminar: January 7, 2015 Freie Universitat 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. Applied Algebra Seminar: Apr 7, 2016 University of WisconsinMadison, Madison, Wisconsin. 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. MRC: 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. 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 University 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. Polynomials, Kinematics, and Robotics : June 57, 2017 University of Notre Dame, Indiana. 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. Applied Macaulay2 tutorials : July 2729, 2017 Georgia Institute of Technology, Atlanta, Georgia. 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. SILO Seminar Series: October 35, 2017 University of WisconsinMadison. Geometry Seminar: October 16October 18, 2017 Massachusetts Institute of Technology, Cambridge, MA. Algebra meets numerics: condition and complexity : November 58, 2017 TU Berlin, Berlin, Germany. NonLinear Algebra : November 812, 2017 Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany. Seminar: November 1215, 2017 Sapientia University, Targu Mures, Romania. Seminar: November 1518, 2017 KU Leuven, Belgium. Random Structures Seminar: November 29, 2017 University of Texas, Austin, Texas. Geometry Seminar: November 30December 1, 2017 Texas A&M, College Station, Texas. Seminar: December 68, United States Naval Academy, College in Annapolis, Maryland. 2017 KoreaChina International Conference on Matrix Theory with Applications: (Arrive in Seoul Dec 11 and depart Dec 22) December 14December 17, 2017 AORCIRCTMT Joint Meeting Sungkyunkwan University, Suwon, South Korea. Applied analysis and algebra seminar: December 18, Yonsei University, Seoul, South Korea. Latinx in the Mathematical Sciences Conference 2018: Discrete Mathematics: March 8  10, 2018 IPAM, UCLA. Algebra, Geometry, and Combinatorics Seminar: March 14, 2018 San Francisco State University, San Francisco, CA. Western Algebraic Geometry Symposium (WAGS): March 17  18, 2018 San Francisco State University, California. AMS Eastern Sectional (Algebraic Statistics and Toric Geometry Sessions): April 21  22, 2018, Northeastern University, Boston, Massachusetts. An NSF/CBMS Regional Conference in the Mathematical Sciences Applications of Polynomial Systems: June 4  8, 2018, Texas Christian University, Fort Worth, Texas. The University of Chicago 2018 Summer Workshop: June 11  15, 2018, Chicago, Illinois. SIAM AN18: July 9  13, 2018, Oregon Convention Center, Portland, Oregon. JSM 2018: July 28  August 2, 2018 Vancouver Convention Center, Vancouver, British Columbia, Canada (Advertisement). ICMS 2018 (Computational Algebraic Geometry Session): July 24  27, 2018 University of Notre Dame. Joint CUNY Graduate CenterCourant Seminar in SymbolicNumeric Computing : August 30, 2018 CUNY Graduate Center, New York. ICERM Semester Program on Nonlinear Algebra : Sept 5  Dec 7, 2018 ICERM, Brown University, Providence, RI. 