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Ruth E Gornet

  • Associate Professor, Mathematics

Education

    • 1993 PhD in Mathematics
      Washington University, 1993
    • 1989 AM in Mathematics
      Washington University, 1989
    • 1987 BA in Mathematics
      Drake University, 1987
    • 1987 BSBA in Act Sci
      Drake University, 1987

Publications

      Book 2012
      • Isospectral surfaces with distinct covering spectra via Cayley graphs
        [DeSmit, B, Gornet, RuthE, Sutton, C]. 343-352,

      Journal Article 2010
      • Sunada’s method and the covering spectrum
        [DeSmit, B, Gornet, RuthE, Sutton, C].(3), 501-537 [.]

      Book 2008
      • Riemannian nilmanifolds, the wave trace, and the length spectrum
        [Gornet, RuthE].(1), 27-89 [.]

      Journal Article 2006
      • Lens spaces, isospectral on forms but not on functions
        [Gornet, RuthE, McGowan, J]. 270-286 [.]

      Book 2005
      • Riemannian nilmanifolds and the trace formula
        [Gornet, RuthE]. 357(11), 4445-4479 [.]

      Journal Article 2004
      • The minimal marked length spectrum of Riemannian two-step nilmanifolds
        [Gornet, RuthE]. 52(3), 683-716 [.]

      Journal Article 2003
      • Length minimizing geodesics and the length spectrum of Riemannian two-step nilmanifolds
        [Gornet, RuthE]. 13(3), 107-143 [.]

      Book 2000
      • Isoscattering Schottky manifolds
        [Brooks, R, Gornet, RuthE, Perry, P]. 10(2), 307-326 [.]
      2000
      • The length spectrum of Riemannian two-step nilmanifolds,
        [Gornet, RuthE, Mast, M]. 33(2), 181-209 [.]

      Journal Article 2000
      • Continuous families of Riemannian manifolds, isospectral on functions but not on 1-forms
        [Gornet, RuthE]. 10(2), 281-298 [.]

      Book 1999
      • Small eigenvalues of the Hodge Laplacian for three-manifolds with pinched negative curvalure
        [Gornet, RuthE, McGowan, J, Branson, Tom]. 237, 29-38 [.] "AMS".

      Book 1998
      • Mutually Isospectral Riemann Surfaces
        [Brooks, R, Gornet, RuthE, Gustafson, WH]. 138(2), 306-322 [.]
      1998
      • sospectral deformations of closed Riemannian manifolds with different scalar curvalure
        [Gordon, CS, Gornet, RuthE, Schueth, D, Webb, D, Wilson, EN]. 48, 593-607 [.] "Grenoble".

      Book 1997
      • Spectral Geometry on Nilmanifolds
        [Gordon, CS, Gornet, RuthE, Lapidus, M, Anderson, S]. 23-49 [.] "Birkhauser".

      Book 1996
      • The marked length spectrum vs. the Laplace spectrum on forms on Riemannian nilmanifolds
        [Gornet, RuthE]. 71, 297-329 [.]

      Journal Article 1996
      • A new construction of isospectral Riemannian nilmanifolds with examples
        [Gornet, RuthE]. 43, 159-188 [.]

      Book 1994
      • The length spectrum and representation theory on two and three-step nilpotent Lie groups
        [Gornet, RuthE, Brooks, R, Gordon, CS, Perry, P]. 173, 133-156 [.]

      Journal Article 1994
      • Equivalence of quasi-regular representations of two and three-step nilpotent Lie groups
        [Gornet, RuthE]. 119, 121-137 [.]

Presentations

    • January  2018
      Gornet, RuthE, "Nilpotent and Solvable Geometry". (January , 2018).
    • September  2017
      Gornet, RuthE, "Analysis and PDEs in Geometry", Denton, TX. (September , 2017).
    • August  2016
      Gornet, RuthE, "Workshop on Differential Geometry", Cordoba, Argentina. (August , 2016).
    • March  2015
      Gornet, RuthE, "Invited Presentations", Wichita State University . (March , 2015).
    • April  2014
      Gornet, RuthE, "Topics in Spectral Geometry and Global Analysis", Albuquerque, New Mexico. (April , 2014).
    • May  2011
      Gornet, RuthE, "Minisymposium on Inverse Spectral Problems", Texas A&M University, College Station . (May , 2011).
    • April  2011
      Gornet, RuthE, "Geometry of Nilpotent Lie Groups", Worchester, Massachuettes . (April , 2011).
    • January  2011
      Gornet, RuthE, " Partial Differential Equations and Geometric Implications", New Orleas, LA. (January , 2011).
    • May  2009
      Gornet, RuthE, "Ricci Flow and Applications", University of Texas, Austin . (May , 2009).
    • January  2008
      Gornet, RuthE, " Inverse Problems in Geometry", San Diego, CA. (January , 2008).
    • February  2006
      Gornet, RuthE, "The Laplace and Length Spectra", NYC. (February , 2006).
    • October  2005
      Gornet, RuthE, " Scattering and Spectral Problems in Geometry", Lincoln, Nebraska. (October , 2005).
    • April  2005
      Gornet, RuthE, " Differential Geometry and its Applications", Lubbock, TX . (April , 2005).
    • February  2005
      Gornet, RuthE, "One Hour Conference Presentation", Teas Tech University,Lubbock. (February , 2005).
    • January  2005
      Gornet, RuthE, "Semiclassical Approximation and Vacuum Energy", Texas A&M University, College Station. (January , 2005).
    • May  2004
      Gornet, RuthE, "AMS Special Session ", Houston, TX 2004. (May , 2004).
    • October  2002
      Gornet, RuthE, "Lie Groups and their Representations", Madison, Wisconsin . (October , 2002).
    • June  2001
      Gornet, RuthE, "Spectral Geometry", Dartmouth College, New Hampshire. (June , 2001).
    • June  2000
      Gornet, RuthE, "Spectral Theory", University of Kentucky . (June , 2000).
    • June  1999
      Gornet, RuthE, "Spectral Geometry", Technion Institute, Haifa, Israel . (June , 1999).
    • June  1998
      Gornet, RuthE, "Spectral Geometry and Representation Theory: A meeting dedicated to Hubert Pesce", Grenoble, France. (June , 1998).
    • January  1998
      Gornet, RuthE, "Advances in the Laplace Operators", Baltimore, Maryland . (January , 1998).
    • February  1997
      Gornet, RuthE, "CNRS-NSF International Workshops on Isospectral Manifolds", Grenoble, France. (February , 1997).
    • November  1996
      Gornet, RuthE, "Special Session on Differential Geometry", Columbia, Missouri . (November , 1996).
    • October  1996
      Gornet, RuthE, "Special Session on Inverse Spectral Problems for Differential Operators", Chatanooga, Tennessee. (October , 1996).
    • March  1996
      Gornet, RuthE, "Special Session on Cohomology and Geometry", Iowa City, Iowa. (March , 1996).
    • January  1996
      Gornet, RuthE, " Representation Theory and Harmonic Analysis of Topological Groups", Orlando, Florida . (January , 1996).
    • June  1995
      Gornet, RuthE, "Differentialgeometrie im Grossen", Oberwolfach, Germany. (June , 1995).
    • April  1994
      Gornet, RuthE, "Texas Geometry", University of Texas, Austin. (April , 1994).
    • July  1993
      Gornet, RuthE, "AMS on Spectral Geometry", Seattle, Washington . (July , 1993).
    • January  1993
      Gornet, RuthE, "Eigenvalues in Riemannian Geometry", San Antonio, TX . (January , 1993).
    • January  1991
      Gornet, RuthE, "One Hour Conference Presentation", University of Pensylvania. (January , 1991).

Support & Funding

This data is entered manually by the author of the profile and may duplicate data in the Sponsored Projects section.
    • Apr 2018 to Mar 2022 A comprehensive System for Undergraduates to Reach Goals in Education (SURGE) sponsored by  - $998652
      (Funded)
    • Aug 2015 to Aug 2020 GAANN Fellowships in Mathematics at University of Texas at Arlington sponsored by  - $739335
      (Funded)
    • Sept 2013 to Aug 2018 Scholarships for Undergraduates to Reach Goals in Education ( SURGE ) sponsored by  - $623608
      (Funded)
    • Aug 2012 to Aug 2016 GAANN Fellowships in Mathematics at University of Texas at Arlington sponsored by  - $544420
      (Funded)
    • Aug 2009 to Aug 2013 GAANN Fellowships in Mathematics at University of Texas at Arlington sponsored by  - $525128
      (Funded)
    • June 2008 to May 2013 Scholarships for Undergraduates to Reach Goals in Education (SURGE) sponsored by  - $483000
      (Funded)
    • Mar 2003 to May 2008 Isospectrality: Length vs. Laplace Sepctra and Isospectral Families sponsored by  - $60197
      Ruth Gornet (Funded)

Courses

      • MATH 4334-001 ADV MULTIVARIABLE CALCULUS
        (Course Id: 108398)
        Fall - Regular Academic Session - 2019 Download Syllabus
      • MATH 2425-300 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2019 Download Syllabus
      • MATH 2425-300 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2019
      • MATH 2425-301 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2019
      • MATH 2425-302 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2019
      • MATH 3300-001 INTRODUCTION TO PROOFS
        (Course Id: 108356)
        Spring - Regular Academic Session - 2019
      • MATH 5391-011 SPECIAL TOPICS IN MATH
        (Topic: Corporate Finance | Course Id: 108486)
        Spring - Regular Academic Session - 2019
      • MATH 4334-001 ADV MULTIVARIABLE CALCULUS
        (Course Id: 108398)
        Fall - Regular Academic Session - 2018
      • MATH 2425-300 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2018
      • MATH 2425-301 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2018
      • MATH 2425-302 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2018
      • MATH 2425-271 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2018
      • MATH 2425-272 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2018
      • HONR-SC 2425-100 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2018
      • MATH 3300-001 INTRODUCTION TO PROOFS
        (Course Id: 108356)
        Spring - Regular Academic Session - 2018
      • MATH 4391-002 SPECIAL TOPICS IN MATH
        (Topic: Algebraic Graph Theory | Course Id: 108404)
        Spring - Regular Academic Session - 2018
      • MATH 4391-009 SPECIAL TOPICS IN MATH
        (Topic: Advanced Multivariable Calculu | Course Id: 108404)
        Spring - Regular Academic Session - 2018
      • MATH 4334-001 ADV MULTIVARIABLE CALCULUS
        (Course Id: 108398)
        Fall - Regular Academic Session - 2017
      • MATH 2425-300 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2017
      • MATH 2425-301 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2017
      • MATH 2425-302 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2017
      • MATH 2425-200 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2017
      • MATH 2425-271 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2017
      • HONR-SC 2425-100 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2017
      • MATH 3300-001 INTRODUCTION TO PROOFS
        (Course Id: 108356)
        Spring - Regular Academic Session - 2017
      • MATH 4334-001 ADV MULTIVARIABLE CALCULUS
        (Course Id: 108398)
        Fall - Regular Academic Session - 2016
      • MATH 1426-271 CALCULUS I
        (Course Id: 108344)
        Fall - Regular Academic Session - 2016
      • HONR-SC 1426-001 HONORS CALCULUS I
        (Course Id: 103830)
        Fall - Regular Academic Session - 2016
      • MATH 4391-001 SPECIAL TOPICS IN MATH
        (Topic: Manifolds & Differential Forms | Course Id: 108404)
        Fall - Regular Academic Session - 2016
      • MATH 2425-271 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2016
      • HONR-SC 2425-100 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2016
      • MATH 3300-001 INTRODUCTION TO PROOFS
        (Course Id: 108356)
        Spring - Regular Academic Session - 2016
      • MATH 4334-001 ADV MULTIVARIABLE CALCULUS
        (Course Id: 108398)
        Fall - Regular Academic Session - 2015
      • MATH 2425-300 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2015
      • MATH 2425-271 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2015
      • MATH 6699-006 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2015
      • HONR-SC 2425-100 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2015
      • MATH 3300-001 INTRODUCTION TO PROOFS
        (Course Id: 108356)
        Spring - Regular Academic Session - 2015
      • MATH 4334-001 ADV MULTIVARIABLE CALCULUS
        (Course Id: 108398)
        Fall - Regular Academic Session - 2014
      • MATH 6699-005 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2014
      • MATH 5304-001 GENERAL TOPOLOGY
        (Course Id: 108418)
        Fall - Regular Academic Session - 2014
      • MATH 4303-001 INTRODUCTION TO TOPOLOGY
        (Course Id: 108386)
        Fall - Regular Academic Session - 2014
      • MATH 6699-003 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2014
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373)
        Spring - Regular Academic Session - 2014
      • MATH 2425-050 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2014
      • MATH 2425-100 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2014
      • MATH 2425-200 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2014
      • MATH 2425-300 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2014
      • MATH 2425-310 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2014
      • MATH 2425-320 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2014
      • MATH 2425-400 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2014
      • MATH 2425-500 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2014
      • MATH 6399-002 DISSERTATION
        (Course Id: 110859)
        Spring - Regular Academic Session - 2014
      • HONR-SC 2425-100 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2014
      • MATH 4334-001 ADV MULTIVARIABLE CALCULUS
        (Course Id: 108398)
        Fall - Regular Academic Session - 2013
      • MATH 2425-100 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2013
      • MATH 2425-200 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2013
      • MATH 2425-300 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2013
      • MATH 2425-400 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2013
      • MATH 6699-006 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2013
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Topic: Topics in Spectral Geometry | Course Id: 108486)
        Summer - Five Week - Second - 2013
      • MATH 2425-200 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2013
      • MATH 5334-001 DIFFERENTIAL GEOMETRY
        (Course Id: 108448)
        Spring - Regular Academic Session - 2013
      • MATH 5391-006 SPECIAL TOPICS IN MATH
        (Topic: Riemannian Geometry | Course Id: 108486)
        Spring - Regular Academic Session - 2013
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: Intro. to Spectral Geometry | Course Id: 108486)
        Spring - Regular Academic Session - 2013
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373)
        Fall - Regular Academic Session - 2012
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2012
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Topic: Riemannian Geom & Lie Groups | Course Id: 108486)
        Fall - Regular Academic Session - 2012
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Course Id: 108486)
        Summer - Five Week - First - 2012
      • HONR-SC 2425-100 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2012
      • HONR-SC 2425-101 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2012
      • MATH 5392-001 SELECTED TOPICS IN MATH
        (Topic: Lie Groups | Course Id: 108487)
        Spring - Regular Academic Session - 2012
      • MATH 2425-001 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2011
      • MATH 3300-001 INTRODUCTION TO PROOFS
        (Course Id: 108356)
        Fall - Regular Academic Session - 2011
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: Topics/ Differential Geometry | Course Id: 108486)
        Summer - Eleven Week - 2011
      • MATH 4335-001 ANALYSIS II
        (Course Id: 108399)
        Spring - Regular Academic Session - 2011
      • MATH 2425-001 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2011
      • MATH 4391-001 SPECIAL TOPICS IN MATH
        (Topic: Internship in Actuarial Sci | Course Id: 108404)
        Spring - Regular Academic Session - 2011
      • MATH 2425-002 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2010
      • MATH 5304-001 GENERAL TOPOLOGY
        (Course Id: 108418)
        Fall - Regular Academic Session - 2010
      • MATH 5391-005 SPECIAL TOPICS IN MATH
        (Topic: Topics in Topology | Course Id: 108486)
        Summer - Eleven Week - 2010
      • MATH 2425-001 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2010
      • MATH 2425-101 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2010
      • HONR-SC 2425-001 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2010
      • HONR-SC 2425-101 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2010
      • MATH 3300-001 INTRO TO PROOFS
        (Course Id: 108356)
        Spring - Regular Academic Session - 2010
      • MATH 2425-002 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2009
      • MATH 2425-102 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2009
      • MATH 2425-202 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2009
      • MATH 5392-003 SELECTED TOPICS IN MATH
        (Topic: Intro. to Matrix Lie Groups | Course Id: 108487)
        Fall - Regular Academic Session - 2009