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Curriculum Vitae

Joshua Brandon Holden

Department of Mathematics  E-mail:
Rose-Hulman Institute of Technology      holden@rose-hulman.edu
5500 Wabash Avenue  Web page:
Terre Haute, IN 47803-3999      http://www.rose-hulman.edu/~holden

Education

Employment

Brown University
Research Assistant / Departmental Computer Coordinator, 1992-1994.
Teaching Assistant / Research Assistant, 1994-1997.

University of Massachusetts at Amherst
Visiting Assistant Professor (Postdoctoral), 1997-1999.

Duke University
Assistant Teaching Professor (Postdoctoral), 1999-2001.

Rose-Hulman Institute of Technology
Assistant Professor, 2001-2007.
Associate Professor, 2007-2014.
Full Professor, 2014-present.

Professional Societies

Member of Mathematical Association of America (MAA), Association for Women in Mathematics (AWM).


Contents

Honors and Awards

Research Activities

Research Specialty

Number Theory and Cryptography, in particular computational and algebraic number theory and applications

Dissertation

``On the Fontaine-Mazur Conjecture for number fields and an analogue for function fields'', advised by Michael Rosen

Research Publications

(Unpublished papers are available on the web at <http://www.rose-hulman.edu/~holden/Preprints> or at the <http://arXiv.org> preprint archive.)

Research Talks

Slides for some of these talks may be found at <http://www.rose-hulman.edu/~holden/Preprints>.

Educational and Expository Activities

Educational and Expository Publications

Educational and Expository Talks

Slides for some of these talks may be found at <http://www.rose-hulman.edu/~holden/Preprints>.

Curriculum Development

Summer 1996; Spring 1997
Obtained grants for, developed curriculum for, and team-taught new course in ``Calculus and Its History'' at Brown University in cooperation with Prof. Kim Plofker of the Brown History of Mathematics Department. Used ``historically informed'' pedagogy to teach calculus.

Summer and Fall 2000
Obtained grants for, developed curriculum for, and taught new course in ``Cryptography and Society'' at Duke University. Seminar-style introduction to the techniques of modern cryptography and the impact on society of their widespread use.

Summer 2000-present
Designed web-based learning modules for the Connected Curriculum Project including:

Spring 2002, Spring 2003, Spring 2004
Developed curriculum for and taught course in ``Cryptography'' at RHIT. (Team-taught in 2002 and 2003 in cooperation with Prof. David Mutchler of the RHIT Computer Science Department.)

Spring 2004
Developed curriculum for and taught course in ``Abstract Algebra'' at RHIT.

Spring 2005
Developed curriculum for and taught course in ``Topics in Discrete Mathematics: $p$-adic numbers'' at RHIT.

Winter 2005-2006
Developed curriculum for and taught course in ``Topics in Mathematics: Galois Theory'' at RHIT.

Fall 2008
Developed new technology for integrating the use of Maple with the use of wireless Tablet PCs and DyKnow Vision software and implemented it in Calculus III, revising course as appropriate.

Spring 2009
Developed curriculum for and taught course in ``Topics in Discrete Mathematics: Quantum Computing'' at RHIT.

January 2010
Developed curriculum for and taught new course on ``Codes, Ciphers and Society'', Manchester College.

May 2010
Developed curriculum for and taught new course on ``Mathematical World: Mathematics of Secret Messages'', Goshen College.

Spring 2011
Developed computer laboratory modules for Engineering Statistics I.

Winter 2011-2012
Developed curriculum for and taught course in ``Topics in Number Theory: Quadratic Field Cryptography'' at RHIT.

Grants

Workshops Attended

Teaching Experience

Syllabi and materials used in many of these courses may be found on my web site.

Pre-calculus and Introductory Calculus
Brown University, Rose-Hulman Institute of Technology

Used Eric Mazur's ``Peer Instruction'' and other collaborative learning techniques.

Calculus I-III
Brown University, University of Massachusetts, Duke University, Rose-Hulman Institute of Technology

Teaching techniques used include ``Peer Instruction'', collaborative techniques, computer algebra system labs, graphing calculator labs, written projects, and computer algebra system demonstrations.

Differential Equations I-II
Rose-Hulman Institute of Technology

Teaching techniques used include ``Peer Instruction'', collaborative techniques, computer algebra system labs, and computer algebra system demonstrations.

Discrete and Combinatorial Algebra I-II
Rose-Hulman Institute of Technology

Engineering Statistics I
Rose-Hulman Institute of Technology

Teaching techniques used include ``Peer Instruction'', collaborative learning techniques, computer labs, and computer demonstrations.

Introduction to Probability
Rose-Hulman Institute of Technology

Teaching techniques used include ``Peer Instruction'', collaborative learning techniques, computer labs, and computer demonstrations.

Linear Algebra
Duke University, Rose-Hulman Institute of Technology

Used Maple labs and demonstrations, and writing, programming, and student research projects.

Undergraduate Number Theory
University of Massachusetts, Rose-Hulman Institute of Technology

Integrated writing, computer programming, and student research projects (written and/or oral) into the syllabus, as well as discussions of current research.

Undergraduate Number Theory Seminar
Duke University

Roughly half the course lecture-based, half based on student presentations on various topics. Student written projects included answers to questions from other students.

Undergraduate Abstract Algebra I
University of Massachusetts

Integrated writing, computer programming, and student research projects into the syllabus, as well as discussions of current research.

Undergraduate Abstract Algebra
Rose-Hulman Institute of Technology

Developed curriculum for and taught new course.

Integrated student research projects (written and oral) into the syllabus, as well as discussions of current research.

Cryptography
Rose-Hulman Institute of Technology

Developed curriculum for and team-taught course in cooperation with Prof. David Mutchler of the RHIT Computer Science Department.

Integrated writing, computer programming, and student research projects and presentations into the syllabus, as well as discussions of current research.

Theory of Computation
Rose-Hulman Institute of Technology

Design and Analysis of Algorithms
Rose-Hulman Institute of Technology

Topics in Discrete Mathematics
Rose-Hulman Institute in Technology

Topic for Spring 2005 was $p$-adic numbers. Developed curriculum for and taught course.

Topic for Spring 2009 was quantum computing. Developed curriculum for and taught course.

Integrated discussions of current research into the syllabus.

Topics in Number Theory
Rose-Hulman Institute in Technology

Topic for Winter 2005-2006 was Galois Theory. Developed curriculum for and taught course. Also taught Winter 2010-2011.

Topic for Winter 2011-2012 was Quadratic Field Cryptography. Developed curriculum for and taught course.

Integrated frequent student presentations of material into the syllabus, as well as discussions of current research.

Contemporary Mathematical Problems
Rose-Hulman Institute in Technology

Centered syllabus around classroom discussions, oral presentations, and written papers.

``Calculus and Its History''
Brown University

Developed curriculum for and team-taught new course in cooperation with Prof. Kim Plofker of the Brown History of Mathematics Department.

Used ``historically informed'' pedagogy to teach calculus. Included student term papers as well as problem sets.

History of Mathematics
University of Massachusetts

Supervised independent study.

``Cryptography and Society''
Duke University

Developed curriculum for and taught new course.

Seminar-style introduction to the techniques of modern cryptography and the impact on society of their widespread use. Included student short essays and term papers as well as problem sets and computer experience. Guest lecturers also used.

Mathematics Seminar
Rose-Hulman Institute of Technology

Responsible for coordinating student attendance and talks at department seminar. Worked with students to develop 50 minute-long mathematical talks and supervised their presentation.

Problem Solving Seminar
Rose-Hulman Institute of Technology

Student-driven presentation of solutions to contest-type problems. Incorporated written and oral presentations and team contests.

Senior Thesis
Rose-Hulman Institute of Technology

Supervised senior theses in number theory for Mathematics and Computer Science and Software Engineering Departments.

Topics in Combinatorics
Rose-Hulman Institute of Technology

Supervised independent study.

Number Fields I and II
Rose-Hulman Institute of Technology

Supervised independent study.

``Codes, Ciphers and Society''
Manchester College

Developed curriculum for and taught new course.

An intensive three-week, 45-hour interdisciplinary course introducing students to the techniques of modern cryptography and the impact on society of their widespread use. Included student short essays and class discussion as well as problem sets and computer experience.

``Mathematical World''
Goshen College

Topic was the Mathematics of Secret Messages. Developed curriculum for and taught new course.

An intensive three-week, 45-hour general education course introducing students to the mathematics behind classical and modern cryptography. Also included some discussion on the impact on society of the use of cryptography and digital communications. Included class discussions and a term paper as well as problem sets and computer experience.

Number Theory and Fractals

Supervised independent study.

Advising and Student Projects

Service Activities

Institutional Service

Institute Offices

Institute Committees

Departmental Committees

Other

Professional Service

Professional Organizations

Conferences

Publications

Other

Consulting Activities

Consulting Employment

Consulting Publications

About this document ...

Curriculum Vitae

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