Yael Eisenberg

Ph.D. Candidate

John Smillie

Professor Emeritus

Publications

  • Ergodicity of billiard flows and quadratic differentials (with S. Kerckhoff and H. Masur), Annals of Mathematics 124 (1986), 293–311.
  • Polynomial diffeomorphisms of C2 VI: connectivity of J (with E. Bedford), Annals of Mathematics, 148 (1998), 695–735.
  • Polynomial diffeomorphisms of C2 VII: hyperbolicity and external rays (with E. Bedford), Ann. Scient. Ec. Norm. Sup. 4 (32) (1999), 455–497.
  • The dynamics of billiard flows in rational polygons; in Encyclopedia of Mathematical Sciences, vol. 100 (edited by Yu. Sinai), Springer-Verlag, 1999.
  • Billiards on rational-angled triangles (with R. Kenyon), Comment. Math. Helv. 75 (2000), 65–108.
  • Dynamics in Two Complex Dimensions; in Proceedings of the International Congress of Mathematicians, Beijing 2002, Vol. III: Invited Lectures, Higher Education Press, Beijing 2002, pp. 373–382.
  • Real polynomial diffeomorphisms with maximal entropy: tangencies (with E. Bedford), Annals of Mathematics 160 (2004), 1–26.

Alfred H. Schatz

Professor Emeritus

Publications

  • Superconvergence in finite element methods and meshes which are locally symmetric with respect to a point (with I. Sloan and L. Wahlbin), SIAM Journal of Numerical Analysis, to appear.
  • Interior maximum norm estimates for Ritz Galerkin methods, part II (with L. Wahlbin), Mathematics of Computation, to appear.
  • Some new error estimates for Ritz Galerkin methods with minimal regularity assumptions (with J. Wang), Mathematics of Computation, submitted.

Mary Ann Huntley

Senior Lecturer

Publications

  • Mayer, J., Huntley, M. A., Fonger, N. L., & Terrell, M. S. (2018).  Professional learning through teacher-researcher collaborations.  Manuscript submitted for publication.
  • Thompson, D. R., Huntley, M. A., & Suurtamm, C. (Eds.).  (2018).  International perspectives on mathematics curriculum.  Charlotte, NC:  Information Age Publishing.
  • Suurtamm, C., Huntley, M. A., & Thompson, D. R. (2018).  What might be learned from examining curricular perspectives across countries?  In D. R. Thompson, M. A. Huntley, & C. Suurtamm (Eds.), International perspectives on mathematics curriculum (pp. 1-8).  Charlotte, NC:  Information Age Publishing.
  • Huntley, M. A., Suurtamm, C., & Thompson, D. R. (2018).  Transcending boundaries:  What have we learned?  In D. R. Thompson, M. A. Huntley, & C. Suurtamm (Eds.), International perspectives on mathematics curriculum (pp. 227-237).  Charlotte, NC:  Information Age Publishing.
  • Huntley, M. A., & Terrell, M. (2014).  One-step and multi-step linear equations:  A content analysis of five textbook series.  ZDM – The International Journal on Mathematics Education, 46, 751-766.
  • Huntley, M. A., & Heck, D. J. (2014).  Examining variations in enactment of a grade 7 mathematics lesson by a single teacher:  Implications for future research on mathematics curriculum enactment.  In D. R. Thompson & Z. Usiskin (Eds.), Enacted mathematics curriculum:  A conceptual framework and research needs (pp. 21-45).  Charlotte, NC:  Information Age Publishing.
  • Thompson, D. R., & Huntley, M. A. (2014).  Researching the enacted mathematics curriculum:  Learning from various perspectives on enactment [Editorial].  ZDM – The International Journal on Mathematics Education, 46, 701-704.
  • Huntley, M. A. (2012).  Developing tools to examine variations in mathematics textbook implementation.  In D. J. Heck, K. B. Chval, I. R. Weiss, & S. W. Ziebarth (Eds.), Approaches to studying the enacted mathematics curriculum (pp. 47-66).  Charlotte, NC:  Information Age Publishing.
  • Huntley, M. A., & Flores, A. (2011).  Student-made games to learn the history of mathematics.  PRIMUS, 21, 567-576.
  • Huntley, M. A., & Flores, A. (2010).  A history of mathematics course to develop prospective secondary mathematics teachers’ knowledge for teaching.  PRIMUS, 20, 603-616.
  • Huntley, M. A., & Chval, K. B. (2010).  Teachers’ perspectives on fidelity of implementation to textbooks.  In R. Reys & B. Reys (Eds.), The K–12 mathematics curriculum:  Issues, trends, and future directions (2010 National Council of Teachers of Mathematics Yearbook) (pp. 289-303).  Reston, VA:  National Council of Teachers of Mathematics.
  • Huntley, M. A. (2009).  Brief report:  Measuring curriculum implementation.  Journal for Research in Mathematics Education, 40, 355-362.

Gennady Samarodnitsky

Charles W. Lake, Jr. Professor in Productivity

James Renegar

Class of 1912 Professor of Engineering

Leonard Gross

Professor Emeritus

Marten Wegkamp

Professor

Publications

  • Interpolation under latent factor regression models: Generalization via low-dimensional adaptation (with Florentina Bunea and Seth Strimas-Mackey). arXiv:2002.02525.

  • Prediction in latent factor regression: Adaptive PCR and beyond (with Xin Bing, Florentina Bunea and Seth Strimas-Mackey). Journal of Machine Learning Research (2021) To appear.

  • Inference in Interpretable Latent Factor Regression Models (with Xin Bing and Florentina Bunea). Bernoulli (2021) To appear.

  • Optimal estimation of sparse topic models (with Xin Bing and Florentina Bunea). Journal of Machine Learning Research 21, 1-45 (2020).

  • A fast algorithm with minimax optimal guarantees for topic models with an unknown number of topics (with Xin Bing and Florentina Bunea). Bernoulli 26(3), 1765-1796 (2020).  

  • Sparse Latent Factor Models with Pure Variables for Overlapping Clustering (Xin Bing, Florentina Bunea and Yang Ning). Annals of Statistics 48(4), 2055-2081 (2020).

  • Adaptive estimation of the rank of the coefficient matrix in high dimensional multivariate response regression models (with Xin Bing). Annals of Statistics, 47(6), 3157-3184 (2019).

  • Weak convergence of stationary empirical processes (with Dragan Radulovic). Journal of Statistical Planning and Inference, 149, 75-84 (2018).

  • Weak convergence of empirical copula processes indexed by functions (with Dragan Radulovic  and Yue Zhao). Bernoulli, 23(4B), 3346-3384 (2017).

Alexander Vladimirsky

Professor

Publications

  • Optimal control with budget constraints and resets (with R. Takei, W. Chen, Z. Clawson, and S. Kirov), SIAM J. on Control and Optimization 53 no.2 (2015), 712–744.
  • Fast two-scale methods for Eikonal equations (with A. Chacon), SIAM J.on Scientific Computing 34 no.2 (2012), A547-A578.
  • An efficient method for multiobjective optimal control and optimal control subject to integral constraints (with A. Kumar), Journal of Computational Mathematics 28 no. 4 (2010), 517–551.
  • Homogenization of metric Hamilton-Jacobi equations (with A. M. Oberman and R. Takei), Multiscale Modeling and Simulation 8 no. 1 (2009), 269–295.
  • Label-setting methods for multimode stochastic shortest path problems on graphs, Mathematics of Operations Research 33 no. 4 (2008), 821–838.
  • A fast method for approximating invariant manifolds (with J. Guckenheimer), SIAM J. on Applied Dynamical Systems 3 no. 3 (2004), 232–260.
  • Ordered upwind methods for static Hamilton-Jacobi equations: theory & algorithms (with J. A. Sethian), SIAM Journal on Numerical Analysis 41 no. 1 (2003), 325–363.
  • Fast methods for the Eikonal and related Hamilton-Jacobi equations on unstructured meshes (with J. A. Sethian), Proc. Natl. Acad. Sci. USA 97 no. 11 (2000), 5699–5703.

Alex Townsend

Associate Professor, Stephen H. Weiss Junior Fellow

Publications

  • Dense networks that do not synchronize and sparse ones that do (with M. Stillman and S. H. Strogatz), Chaos, 30 (2020), 083142.
  • Fast algorithms using orthogonal polynomials (with S. Olver and R. M. Slevinsky), Acta Numerica, 29 (2020), pp. 573-699.
  • Stable extrapolation of analytic functions (with L. Demanet), Foundations of Computational Mathematics, 19 (2019), pp. 297-331.
  • Bounds on the singular values of matrices with displacement structure (with B. Beckermann), SIAM Review, 61 (2019), pp. 319-344.
  • Why are big data matrices approximately low rank? (with M. Udell), SIAM Journal on Mathematics of Data Science, 1 (2019), pp. 144-160.
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