Silvia Heubach

Silvia Heubach
Professor

College of Natural and Social Science


Department of Mathematics

Center for Interdisciplinary Quantitative Analysis (CINQA)

Office: ST F204
Phone: 323-343-2162
FAX: 323-343-5071
Email: sheubac@calstatela.edu

 

 

Fall 2014

MATH 205-01 MTWR 1:30 - 2:20

SH C266

MATH 474-01 TR 9:50 - 11:30

SH C237

MATH 474-02 MW 4:20 - 6

SH C243A

All course materials are posted on Moodle

Office Hours:
Monday 12:45 – 1:30 & 6 – 6:30
Tuesday 11:30 – 12:15
Wednesday 12:45 – 1:30 & 3:30 – 4:15
Thursday 9:15 – 9:45 
by appointment
 

 

 

 


Introduction Teaching Interests Research Interests

Publications & Preprints

Java Tiling Program

Presentations

Math Club

MAA student chapter

Graduation

2004

2006

Introduction to Modeling

Grants and Awards Educational Background

Helpful Reading:


INTRODUCTION

Originally from Germany, I came for a one-year student exchange at the University of Southern California, Los Angeles. I stayed on and graduated with a Ph.D. in Probability Theory in 1992. After one-year appointments at Colorado College in Colorado Springs and Humboldt State University, I came to CSLA in Fall of 1994. In my free time I like to read, watch movies, hike, camp, and stand on my head on a daily basis.


TEACHING INTERESTS

I am interested in exploring ways to improve students' understanding of the material taught, as well as to raise their interest in mathematics. This may take the form of showing videos, using calculators or computers, and assigning projects when appropriate. My areas of interest are probability, modeling and differential equations. Currently I am working with faculty from biology, chemistry, physics and computer science on integrating the curriculum from these disciplines for life science majors as part of an NIH grant. Find out more about these activities on the webpage of the Center for Interdisciplinary Quantitative Analysis (CINQA).

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RESEARCH INTERESTS

I have a number of research interests. My Masters' thesis was on a stochastic model for inventory control (Operations Research), while in my Ph.D. thesis, I developed a stochastic model for the movement of a white blood cell. With Dr. Pamula, I have worked on a model of a system of parallel processes to compare different methods of error recovery. Work on (enumerative) combinatorics, in particular questions related to tilings and compositions with a number of collaborators has culminated in a book which brings together the research on combinatorics of compositions and words. Most recently, I am working on questions related to combinatorial games, an area that lends itself to student research. My current book project is a chapter on probability in a bioinformatics book that will appear in sumer 2015.


Publications and Preprints

An interactive Java program that counts and produces tilings of n-by-m rectangles with square tiles of size 1-by-1, 2-by-2, ...,k-by-k can be found here.

 

Book:

I had the pleasure of writing joint research articles with the following individuals (roughly in reverse chronological order): Urban Larson, Eric Duchene, Matthieu Dufour, Arnold Knopfmacher, Michael Mays, Sergey Kitaev, Augustine Munagi, N.Y. Li, Toufik Mansour, Patrick Callahan, Phyllis Chinn, Ralph Grimaldi, Raj Pamula, Joseph Watkins.

 

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Presentations
  • Edge-Nim on a Tetrahedron, Recreational Mathematics Meeting, Weizman Institute, Rehovot, Israel, June 20, 2014
  • Building Nim, Second Joint Meeting of the Israel Mathematical Union and the AMS, Tel Aviv, Israel, June 16 - 19, 2014
  • Nim on a Tetrahedron, 45th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 3-7, 2014
  • Building Nim, Integers Conference 2013, Carollton, GA, October 24-27, 2013
  • Building Nim, Women in Mathematics Symposium, UCSD, April 21, 2013
  • A Generalization of Nim, 44th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 4-8, 2013
  • Improving Quantitative Skills of Life Science Majors at CSULA, Joint Mathematics Meeting, January 9-13, 2013, San Diego, CA
  • Improving Quantitative Skills of Life Science Majors at CSULA, CSUPERB Quantitative Biology Network Meeting, January 3, 2013, Anaheim, CA
  • Improving Quantitative Skills of Life Science Majors at CSULA, Biomathematics and Ecology: Education and Research 2012, St. Louis, MO, November 9-11, 2012
  • A Generalization of Nim and Wythoff games, SIAM DM 12, Halifax, Nova Scotia, June 18-22, 2012
  • Nim, Wythoff and Beyond - Let's Play, Mathematics Colloquium CSU Long Beach, April 29, 2011
  • A Generalization of the Nim and Wythoff games, 42nd Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 7-11, 2011
  • Circular (n,k) games, Graduate Seminar, CSU Channel Island, September 8, 2010
  • Circular (n,k) games, Math Colloquium, Cal Poly San Luis Obispo, May 7, 2010
  • Avoiding Substrings in Compositions, 41st Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 8-12, 2010
  • Circular (n,k) games, 41st Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 8-12, 2010
  • Circular (n,k) games, MAA Mathfest, Portland, OR, August 6-8, 2009
  • Analyzing ELLIE - the story of a combinatorial game, San Jose State University, San Jose, CA, May 13, 2009 (slides, handout for printing)
  • Pattern avoidance of type (2,1) multi-permutation patterns in compositions, 40th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 2-6, 2009
  • Circular (n,k) games, 40th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 2-6, 2009
  • Analyzing ELLIE - the story of a combinatorial game, Humboldt State University, Arcata, CA, October 23, 2007
  • Avoidance of Partially ordered patterns in compositions (long version), Dalhousie University, Halifax, NS, August 27, 2007
  • Avoidance of Partially ordered patterns in compositions, International Conference on Graph Theory and Combinatorics & Fourth Cross-strait Conference on Graph Theory and Combinatorics, National Taiwan University, Taipei, June 24-29, 2007
  • Avoidance of Partially ordered patterns in compositions, 38th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 5-9, 2007
  • Do you Sudoku? Math Club, Cal Poly Pomona, May 4, 2006
  • Staircase Tilings and Lattice Paths, 37th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 6-10, 2006
  • Enumeration of 3-Letter Patterns in Compositions, Integers Conference 2005, University of West Georgia, Carrollton, GA, October 27 – 30, 2005
  • Compositions and Multisets Restricted by Patterns of Length 3, Workshop on Permutation Patterns, University of Haifa, Israel, May 29 - June 3, 2005
  • Tiling with Ls and Squares, 36th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 7-11, 2005
  • Tiling with Ls and Squares, Meeting of the Southern California-Nevada Section of the MAA, Las Vegas, NV, October 10, 2004
  • Counting Rises, Levels and Drops in Compositions , 35th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 8-12, 2004
  • Binary Strings Without Odd Runs of Zeros, 34th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 3-7, 2003
  • Counting Compositions: Patterns and Combinatorial Proofs, Mathematics Colloquium, CSU Dominguez Hills, CA, April 24, 2002
  • Counting Compositions with 1s and ks, 33rd Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FL, March 4-8, 2002
  • Using The TI-89 To Convey Mathematical Concepts: An Introductory Modeling Course For Non-Science Majors, Calculator workshop the 14th International Conference on Technology in Collegiate Mathematics (ICTCM), Baltimore, MA, November 1-4, 2001
  • The Frequency of Summands of Size k in Palindromic Compositions, Fall Meeting of the Southern California Section of the MAA, Los Angeles, CA, October 13, 2001
  • Rises, Levels, Drops and "+" Signs in Compositions, 32nd Southeastern International Conference on Combinatorics, Graph Theory and Computing, Baton Rouge, LA, February 26 - March 1, 2001
  • Exact and Asymptotic Results for the Number of Tilings of Rectangles with Squares, AMS/MAA Joint Meeting, New Orleans,LA, January 10-12, 2001
  • An Alternative to College Algebra- An Introductory Modeling Course for Freshman Liberal Arts Majors, Joint Meeting of the AMS and MAA, New Orleans, January 10-13, 2001
  • Exact and Asymptotic Results for the Number of Tilings of an m-by-n Board with Squares, Mathematical Colloquium, University of Ulm, Germany, November 14, 2000
  • Tiling Rectangles with Squares, Mathematical Colloquium, Humboldt State University, Arcata, CA, October 19, 2000
  • An Innovative Modeling Course for Freshman Liberal Arts Majors, MAA Mathfest 2000, Los Angeles, CA, August 3 - 5, 2000
  • Patterns Arising From Tiling Rectangles With Squares, 10th SIAM Conference on Discrete Mathematics, Minneapolis, Minnesota, June 12-15, 2000
  • Patterns Arising From Tiling Rectangles With Squares, 31st Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, Florida, March 12-17, 2000
  • Using Mathematica To Convey Mathematical Concepts: An Introductory Modeling Course For Non-Science Majors, Computer workshop at the 12th International Conference on Technology in Collegiate Mathematics (ICTCM), Burlingame, CA, Nov. 4 - 7, 1999
  • Implementing an Approximate Probabilistic Algorithm for Error Recovery in Concurrent Processing Systems, 17th International AoM/IAoM Conference, San Diego, CA, August 6-8, 1999
  • An Introductory Modeling Course for Liberal Arts Majors based on Mathematica, Morsels in Math Teaching, California State University Northridge, Northridge, CA, May 18, 1999
  • Tiling an m-by-n Area with Square of Site up to k-by-k (m=<5), 30th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton, Florida, March 8-12, 1999
  • An Innovative Approach to Modeling at the Freshman/Sophomore Level, 11th International Conference on Technology in Collegiate Mathematics, New Orleans, Louisiana, November 19 - 22, 1998
  • An Introductory Modeling Course for Non-Science Majors: Using Mathematica to Convey Mathematical Concepts, Western Regional Meeting of the American Mathematical Society, Tucson, Arizona, November 13 - 15, 1998
  • An Innovative Modeling Approach at the Freshman/Sophomore Level, 3rd Asian Technology Conference in Mathematics (ACTM'98), Tsukuba, Japan, August 24 - 28, 1998
  • Modeling and Simulation of Error Recovery in a Concurrent Processing System, European Parallel and Distributed Systems (Euro-PDS '98), Vienna, Austria, July 1-3, 1998
  • Using Mathematica to bring Research into the Classroom, 10th International Conference on Technology in Collegiate Mathematics (ICTCM), Chicago, IL, Nov. 7 - 9, 1997
  • Rigid or Not?, Joint Regional Meeting of the AMS/MAA, Claremont McKenna College, Claremont, CA, Oct. 4, 1997
  • Introducing Laboratories into a Differential Equations Course - How to Get Started!, 9th International Conference on Technology in Collegiate Mathematics, Reno, NV, Nov. 7 -10, 1996
  • Highlights and Pitfalls in O.D.E. Reform, 9th International Conference on Technology in Collegiate Mathematics, Reno, NV, Nov. 7 -10, 1996
  • Optimizing Rollback Schemes for Parallel Processes, 1996 Seminar on Stochastic Processes, Duke University, Durham, NC, March 14 - 16, 1996
  • How many ways are there to tile an n-by-m rectangle using 1-by-1 and 2-by-2 tiles?, MAA (Southern and Northern) Section Meeting, Cal Poly, San Luis Obispo, CA, October 20 - 22, 1995
  • A Stochastic Model for the Movement of a White Blood Cell, Women in Probability, Cornell University, Ithaca, NY, October 16-18, 1994
  • A Stochastic Model for the Movement of a White Blood Cell, Combined MAA/AMS Western Section Meeting, University of Oregon, Eugene, OR, June 15-17, 1994
  • A Stochastic Model for the Movement of a White Blood Cell, 1st IMS North American New Researchers' Meeting, UC Berkeley, Berkeley, CA, August 4 -7, 1993
  •  
    Reviews
    • NSF Course, Curriculum and Laboratory Improvement Program (CCLI) grant applications, Arlington, VA, July 15 - 18, 2002
    • NSF Course and Curriculum Development (CCD) grant applications, Arlington, VA, July 21 - 24, 1997
    • Interactive Differential Equations (software and lab manual), Addison Wesley, Winter 96.

    Refereed Articles

    • Discrete Mathematics
    • Integers Journal
    • Ars Combinatoria
    • Journal of Difference Equations and Applications
    • Central European Journal of Mathematics
    • Quaestiones Mathematicae

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    Grants and Awards
    • CSULA Distinguished Woman Award 2013
    • PI, Co-Director and Project Manager on NIH MARC curricular grant (July 2008-June 2014, $1.57 Million)
    • NSF travel grant to attend FPSAC conference in Tianjin, China, July 2007, $1150
    • Invited Researcher, University of Haifa, Haifa, Israel, supported by the Department of Mathematics and the Caesarea Rothschild Institute, $1500 travel grant + housing, March 2007
    • Invited Researcher, University of Haifa, Haifa, Israel, supported by the Department of Mathematics and the Caesarea Rothschild Institute, $1900 travel grant + housing, September 2005
    • Invited Researcher, University of Haifa, Haifa, Israel, supported by the Department of Mathematics and the Caesarea Rothschild Institute, $1500 travel grant + housing, May 2005
    • 2003/2004 AWM Travel Grant, $1100
    • 1999/2000 CSLA Outstanding Professor Award
    • 1999/2000 AWM Travel Grant, $500
    • 1997-98 Innovative Teaching Award, An Introductory Course in Mathematica, Released Time, Student Assistant and Services $4,600
    • NSF-Course and Curriculum Development Grant, An Innovative Approach at the Freshman/Sophomore Level, $121,366 (3/97 - 11/01);
    • 1995-96 Proposal Development and Grant-in-Aid Award, Seed Project to develop an NSF Proposal for the Creation of a New Interdisciplinary Modeling Course, Released Time (4 units)
    • 1995-96 Discretionary Lottery Funds, Technology Oriented Curriculum for Differential Equation Course, $1000 for purchase of software
    • 1995-96 Innovative Instruction Awards, Technology Oriented Curriculum for Differential Equation Course, Released time (4 units), Mini grant $594
    • 1995-96 Innovative Instruction Awards, $5000 for purchase of graphing calculators

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    Educational Background
    • University of Southern California, Los Angeles

    Ph.D. in Applied Mathematics (1992), GPA 4.0: A Stochastic Model for the Movement of a White Blood Cell. (Advisor: Dr. Joseph Watkins).

    Masters of Science in Mathematics (1989), GPA 4.0

    • University of Ulm, Germany

    Diplom in Wirtschaftsmathematik (Masters in Mathematics and Economics) (1986)

    Vordiplom in Wirtschaftsmathematik (B.A. in Mathematics and Economics) (1983)

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