Diane Hoffoss
G.C. Evans Instructor, Rice University
2501 Hazard #2 ... Houston TX 77019 ... Office: 713 348 2372 ... Fax: 713 348 5231 ... Home: 713 942 2593
Research Interests
3-Manifold Topology, Hyperbolic Geometry, Flows and Foliations
Education
- Ph.D. Mathematics University of California, Santa Barbara, 1998
Dissertation: Quasigeodesic Flows on Hyperbolic 3-Manifolds Which Fiber Over the Circle
Advisor: Daryl Cooper
- M.A. Mathematics University of California, Santa Barbara, 1993
- B.S. Mathematics Virginia Polytechnic Institute and State University, 1989
Publications
- Suspension Flows are Quasigeodesic -- to be submitted Dec 2000
- Quasigeodesic Flows on Hyperbolic 3-Manifolds Which Fiber Over the Circle -- Ph.D.
Thesis, UMI, Ann Arbor, 1998
- Boundary Slopes -- This computer program calculates boundary slopes of surfaces in
cusped manifolds (for example, knot complements) using degenarations of a triangulation of a manifold. 1992
- LAURE Integrity Tester -- A computer program written in the language LAURE which checks whether
the LAURE language itself was still valid after we had made subtle changes in our implementation of the language.
1990
- LAURE Tutorial -- A tutorial to introduce new users to the computer language LAURE. 1990
- Length Spectra -- A computer program which calculates length spectra of a manifold given matrix generators for its
fundamental group. 1989
Invited Talks
1 Hour Talks
- Keynote Speaker-To-Be, The Shape of Space
Rice University School Mathematics Project ``Geometry for the New Millenium" Spring Workshop, February 2001
- Suspension Flows are Quasigeodesic
Foliations and Dynamics Conference: Georgia Topology Conference, July 2000
- Suspension Flows are Quasigeodesic
Cascade Topology Conference, May 2000
- Using Foliations to Understand 3-Manifolds
Research Colloquium,
Virginia Tech, November 1999
- Some Invariants of 3-Manifolds
Research Colloquium, The Colorado College, November 1998
- Surgery, Mutants, and the Jones Polynomial
Research Colloquium, The Colorado College, October 1998
- Teaching Undergraduates to Write Mathematical Proofs
Project NExT (New Experiences in Teaching) Special Session of Joint Meetings of the AMS/MAA,
January 1998
- Using Foliations to Understand 3-Manifolds
Research Colloquium Series, Texas Christian University Department of Mathematics, November 1997
- Quasigeodesic Flows on Hyperbolic 3-Manifolds Which Fiber Over the Circle
Conference on Laminations and Foliations of 3-Manifolds, University of
Georgia Department of Mathematics Annual Topology Conference, August, 1997
20-30 Minute Talks
- Quasigeodesic Flows on Hyperbolic 3-Manifolds Fibering Over the Circle
Joint Australian Mathematical Society / American Mathematical
Society Meetings, University of Melbourne, June 1999
- Quasigeodesic Flows on Hyperbolic 3-Manifolds Fibering Over the Circle
Recent Results in 3-Manifold Topology Special Session, AMS Sectional Meeting,
Wake Forest, 1998
- Quasigeodesic Flows on Hyperbolic 3-Manifolds Fibering Over the Circle
Laminations, Foliations, and Dynamics in Geometry and Topology Conference,
SUNY Stony Brook, May 1998
- Quasigeodesic Flows on Hyperbolic 3-Manifolds Fibering
Over the Circle
Kleinian Groups and Hyperbolic 3-Manifolds Special Session of the Joint
American Mathematical Society / Mathematical Association of America Meetings, January 1998
- Quasigeodesic Flows on Hyperbolic 3-Manifolds Which
Fiber Over the Circle
Analysis and Geometry of Foliations Special Session of the
Albuquerque American Mathematical Society Meeting, November 1997
- Quasigeodesic Flows on Hyperbolic 3-Manifolds Which Fiber
Over the Circle
Wahsatch Topology Conference, June 1997
Honors and Awards
- Computer Technology Honorarium, for applying computer technology to a
course in non-Euclidean Geometry,
Colorado College, 1999
- Benezet Summer Faculty Research Grant, Colorado College, 1998
- Faculty Research Release Time Award, Colorado College, 1998
- Chosen Project NExT (New Experiences in Teaching) Fellow, 1997
- Dissertation Fellowship, UCSB, 1997
- Outstanding Graduate Student Teaching Award, UCSB Math Department, 1997
- Excellence in Teaching Award, UCSB Graduate Student Association, 1997
- UCSB Residence Halls Association Outstanding Faculty Member Award, 1997
- UCSB Graduate Division's Graduate Student Fee Fellowship Recipient, 1995-96
- UCSB Graduate Opportunity Fellowship, 1994-95
- National Science Defense Engineering Graduate Fellowship, 1990-93
- Named Most Outstanding Senior by Mathematics Faculty, Virginia Tech, 1989
- Phi Beta Kappa, Virginia Tech, 1989
- Hatcher Memorial Scholarship, Virginia Tech, awarded twice, 1987-89
Computer Science Qualifications
- Wrote 2 Geometry / Topology computer programs to calculate different invariants of
manifolds.
- Aided in design and support of LAURE, a deductive computer language.
- Proficient in 10 computer languages: C++, C, Lisp, Prolog, LAURE, Pascal, FORTRAN,
BASIC, Mathematica, LaTex
- Knowledgeable of UNIX, Macintosh, and Windows operating system.
- Taught 7 computer science courses, including C++, UNIX, Pascal, and Basic, and an
independent study in Java.
- Completed 10 computer science courses, including comparative languages, formal languages,
file structures, data structures, and a course where I wrote my own assembler.
7 1/2 Years Teaching Experience
I've taught 32 individual 10 week courses at Rice University, Colorado College,
the University of California at Santa Barbara, and Virginia Tech, involving:
- Both mathematics and computer science courses.
- Both reform calculus (Harvard Consortium) and standard calculus -- first and second year.
- From small classes through 140 students.
- Courses on the block plan, where a normal 10 week course is taught in an intense
3.5 weeks.
- Material ranging from an Graduate Level Geometric Topology course through PreCalculus and Mathematics
for Elementary School Teachers, to UNIX and other programming courses.
- Designing and teaching a problem solving course.
- Technology in the classroom using Mathematica the TI-85 Graphing Calculator.
- Courses aimed at the needs of minority students.
- Full course leadership, including course policy development, lecturing, selecting
homework problems, holding office hours, grading exams, assigning final grades.
- Both honors and standard courses.
- Students from mathematics and engineering as well as humanities departments.
- Small group learning and group projects.
- Supervision of teaching assistants and graders.
Employment
- G.C. Evans Instructor, Rice University, 1999-pres
- Visiting Assistant Professor, The Colorado College, 1998-1999
- Instructor, The Colorado College, 1997-1998
- Teaching Associate/Assistant, University of California, Santa Barbara, 1993-97
- Independent Tutor, 1992-97
- Campus Learning Assistance Services Tutor, UCSB, 1992-93
- Member of Technical Staff, Mathematics, Computer Science, and Communications Research
Division, Bellcore (Formerly Bell Labs), 1989-90
- Visiting Researcher, Geometry Project, Minneapolis, MN, 1989
- Instructor, Special Summer Problem Solving Course, Virginia Tech, 1988
Service To Profession
- Math Careers Lecture Series Creator and Chairperson, Rice University, 2000-
- Reviewer, Linear Algebra Text, Addison Wesley, 2000
- Teaching Seminar Co-Chair, Rice University, 1999-2000
- Advisor, Math Modelling Team, The Colorado College, 1998-1999
- Colloquium Chairperson, The Colorado College, 1998-1999
- Undergraduate Advisor, The Colorado College, 1997-1999
Research References
- Professor David Gabai, Department of Mathematics
CalTech, Pasadena, California 91125
gabai@cco.caltech.edu
(626) 395-4342
- Professor Sergio Fenley, Department of Mathematics
Washington University in Saint Louis, Missouri 63130
fenley@math.wustl.edu
(314) 935-6760
- Professor Lee Mosher, Department of Mathematics
Rutgers University Newark, New Jersey 07102
mosher@andromeda.rutgers.edu
(973) 353-5156 x19
- Professor Benson Farb, Department of Mathematics
University of Chicago, Illinois 60637-1514
farb@math.uchicago.edu
(773) 702-3444
- Professor Daryl Cooper, Department of Mathematics
University of California, Santa Barbara, California 93106
cooper@math.ucsb.edu
(805) 893-8424
- Professor Arkady Kholodenko, Department of Chemistry
Clemson University, South Carolina 29634
string@clemson.edu
(864) 656-5016
- Professor Martin Scharlemann, Department of Mathematics
University of California, Santa Barbara, California 93106
mgscharl@math.ucsb.edu
(805) 893-4101
Teaching References
- Professor Tim Cochran, Department of Mathematics
Rice University, Houston, Texas 77005
cochran@math.rice.edu
(713) 348-5265
- Professor Michael Siddoway, Chair, Department of Mathematics
The Colorado College, Colorado Springs, Colorado 80903
msiddoway@coloradocollege.edu
(719) 389-6717
- Professor John Doner, Vice Chair, Department of Mathematics
University of California, Santa Barbara, California 93106
doner@math.ucsb.edu
(805) 893-3941
- Professor Kenneth Millett, Department of Mathematics
University of California, Santa Barbara, California 93106
millett@math.ucsb.edu
(805) 893-3894