Condensed Vita for Albert Boggess

Contents

• Biographical
  
• Research and Selected Publications
  
• Federal Grants
  
• Local Grants
  
• Consulting
  
• Service
  
• Teaching
  
• Course Development
  
• Complete Publication List
  
• Talks and Colloquia
  

Biographical Data

• Born in Ann Arbor MI
• Raised in Wheaton Md.

Current Office Address and Phone

• Department of Mathematics, Texas A&M, College Station, TX 77843
• Administrative Office in Milner 102, phone:979-845-9424
• Personal Office in Milner 203, phone: 845-2837
• E-mail: boggess@math.tamu.edu

In the profession

• 2002 - present: Head of Math Department, Texas A&M
• 1996 - present: Professor of Mathematics, Texas A&M
• 1986 - 1996: Associate Professor of Mathematics, Texas A&M
• 1994 - present: Associate Head of Mathematics Department, Texas A&M
• 1991 - 1994: Associate Head for Undergraduate Studies, Texas A&M
• 1990-1991: Visiting Associate Professor of Mathematics, Colorado College
• 1982-1986: Assistant Professor of Mathematics, Texas A&M
• 1979-1982: Post-doctorate, The University of Michigan

Education

• Ph.D in Mathematics, Rice University, 1979
• B.S., University of Texas, 1975

Research Interests

• Overdetermined Systems of partial differential equations
• Several Complex Variables
• Harmonic Analysis (boundary values of holomorphic function, H^p theory)

Selected Publications

• (with J. C. Polking) Holomorphic extension of CR functions , Duke Mathematical Journal, 49 (1982), pg. 757-784.
• (with J. Pitts) CR extension near a point of higher type, Duke Mathematical Journal, 52 (1985), pg. 67-102.
• (with R. Dwilewicz and A. Nagel) The hull of holomorphy of a nonisotropic ball in a pseudo convex real hypersurface of finite type , Transactions of the American Mathematical Society, 323 (1991), pg. 209-232.
• (with A. Nagel) Local Reproducing Kernels on Wedge-Like Domains with Type 2 Edges Pacific Journal of Math, Vol 167, No. 1, 1995, pg 1-47, full postscript version

Books Published

• CR Manifolds and the Tangential Cauchy - Riemann Complex , CRC Press, 1991
• Calclabs with Maple V, (co-authored with 7 other members of the Math Department), Brooks/Cole, 1994
• Ordinary Differential Equations with Maple VR3 , Barrow, Belmonte, Boggess, et al Brooks/Cole, 1996 preliminary edition
• Reorganization and rewrite of Stewart's Calculus book, Preliminary Edition, Fall 1996.
• A First Course in Wavelets with Fourier Analysis joint with Fran Narcowich, 2001, Prentice Hall.
• Differential Equations with John Polking and David Arnold, 2001, Prentice Hall.

Federal Grants

• The Leviforms, CR Extension and the Local Solvability of the Tangential Cauchy-Riemann Equations, N.S.F. MCS-8301369, $21,662, May, 1983 - December, 1985.

• The Leviforms, CR Extension and the Tangential Cauchy-Riemann Equations, N.S.F. DMS-8301369, $24,590, June, 1985 - December, 1987.

• The Leviforms and CR Extension, N.S.F. DMS-8700998, June 1987 - December, 1988, $7458.

• National Science Foundation Planning grant for the Collaborative on Learning Technologies, with Richard Ewing, Michael Pilant and Peter Stiller, $50,000, August, 1996 - July, 1997.

• National Science Foundation: Research Experiences for Undergraduates - Algebraic and Analytic Methods in the Mathematical Sciences Co-PI with Ed Letzter, Award # DMS-9912192, $199,000 2000-2003.

• Renewal of REU - 2003-2006, Co-PI with Dave Larson and Jay Walton $240,000

• Co-PI on an NSF - VIGRE award; PI is Bill Rundell; other Co-PIs are Boas, Johnson, Sanchez and Walton. Amount is $1,463,921 over 3 years starting June, 2000. Renewal approved for 2003-2005, $1,100,000.

Local Grants

• Joint Education and Science Interdisciplinary Proposal $100,000, June 1993-1997; funded by the Associate Provost for Research and Graduate Studies at Texas A&M.

• A&M Computer Access Funds to equip Heldenfels with an RGB projector for computer aided instruction (joint with the Heldenfels user committee). $28,000, Spring 1996.

• A&M Computer Access Funds to equip Heldenfels and Blocker with an RGB projectors and terminals for computer aided instruction, $80,000, Spring 1997.

Consulting

• Consultant for geology grant #ACS-PRF-5531 (1984) to study salt concentration in ground water (principal investigator was Steve Fritz in the Department of Geology at Texas A&M). The consulting involved numerically solving various diffusion equations with mixed boundary data.

• Consultant for Advanced Placement Curriculum for Northeast Independent School District (San Antonio, TX), 1997.
• Consultant for the College Board Advanced Placement Program Office in Austin (Maple training session for AP teachers), August 1999.

Teaching and Service Awards

• Texas A&M University, Association of Former Students Distinguished Teaching Award (1987)
• Texas A&M University Award for Outstanding Advising (1990)
• Departmental Outstanding Teaching Award, May 1995

Extra-University Activities

• Organizing Committee for Mathcounts - a competitive exam given to junior high school students 1987 -.
• Helped coach the Mathcounts team at A&M Junior High, 1987.

University Activities

• Member, College of Science Executive Committee
• Member, Faculty Advisory Council to the Vice President of Student Affairs, 1997-1999.
• Member, Engineering/Science/Mathematics Curriculum Committee 1996 -
• Member, Heldenfels Upgrade Committee, 1995-.
• Member, College of Science Undergraduate Curriculum Committee 1986- 1994.
• Member, Interdisciplinary Engineering/Science/Math Committee, 1994.
• Member, College of Science SLEAF (Science Lab. Equip. Access Fee) Committee 1994-.
• Member, Campus Tutorial Advisory Committee, 1995.
• Chair, College of Science Faculty Advisory Council (advises the Dean of the College of Science at Texas A&M) , 1987-88, (member from 1986-1988)

Departmental Activities

• Head, 2002-
  • Presides over Executive Committee which makes recommendations on long-range planning, hiring, faculty evaluations/raises and committee assignments
  • Negotiates with dean on matters such as budgets, hiring, promotion and tenure
  • Manages the departmental 8.4 Million dollar budget
  • In charge of hiring and managing the Academic Business Administrator who oversees all departmental staff
• Associate Head, 1994-2002
  • Hire and manage the lecturers.
  • Set the teaching schedule for all faculty members of the Department.
  • Help coordinate and implement all curriculum reform efforts.
  • Responsible for the operations web page
  • Help the Head with budgeting, and the hiring and evaluation of faculty.
  • Handle student complaints, scholastic dishonesty and grade appeals.
• Associate Head for Undergraduate Studies 1991-1994.
  • Responsible for undergraduate mathematics major curriculum
  • Head undergraduate advisor
• Chairman, Undergraduate Program Committee 1991-1994.
• Member, Undergraduate Program Committee 1994 -
• Member, Awards Committee, 1993-1994 and 2001-02
• Ex-officio member of the Executive Committee 1994-
• Undergraduate student advisor 1986-1994
• Freshman student advisor for summer orientation 1986 -1994.
• Co-sponsor of the Math Club 1987 -1994.
• Math 151 (Calculus I) coordinator, Fall 1996.
• Math 152 (Calculus II) coordinator, Spring 1997.
• Member, High School Mathematics Competition Committee 1998 -

Teaching

Recently Taught Classes

• Math 172 (Math Major Calculus II), Spring 1994
• Math 689, (Advanced Placement Workshop for High School Teachers), Summer, 1994
• Math 451 (Differential Equations), Fall 1994
• Math 401 (Perturbation Theory), Spring 1995
• Math 417 (Numerical Analysis), Fall 1995
• Math 411 (Probability), Spring 1996
• Math 151 (Calculus I), Fall 1996 (and course coordinator).
• Math 152 (Calculus II), Spring 1997 (and course coordinator).
• Math 251 (Calculus III), Fall 1997
• Math 414 , Fourier Analysis and Wavelets, Spring 1998.
• Math 222 , Linear Algebra, Fall 1998.
• Math 414 , Fourier Analysis and Wavelets, Spring 1999.
• Math 617 , Complex Analysis, Fall 1999.
• Math 618 , Spring 2000.
• Math 663 , Fall 2000.
• Math 410 , Spring 2001.
• Math 663 , Fall 2001.
• Math 411 , Spring 2002.
• Numerous Independent Study courses and graduate committees

Course Development

• Math 414, Wavelets , in collaboration with Fran Narcowich. The development involves the writing of a A First Course in Wavelets with Fourier Analysis book that will be accessible to junior and senior undergraduate mathematics, science and engineering majors. This manuscript is currently being class tested here and at Illinois College.

• Math 689, Advanced Placement Calculus course for high school teachers - jointly developed with Mike Stecher. Taught as a two-week summer course and more recently as a one-week workshop (by Stecher). A manual , integrating the use of the graphing calculator, was developed for use in this course. A similar course was taught by Boggess at Schreiner College in the Summer of 1995.

• Significant restructuring of the content of Engineering Calculus: Math 151, 152 and 251 to better serve the needs of engineering. This is an outgrowth of the discussions in the Engineering/Science/Curriculum (chaired by the Associate Dean of Engineering). Material on vectors, several variable calculus and differential equations is now covered earlier in the syllabus for all sections of these courses. Material on sequences and series is covered later. A customized version of Stewart's Calculus text is being written as part of this reorganization in collaboration with James Stewart.

• Development of the laboratory in Math 151 and 152, 1994 -. A laboratory manual was written in 1994 and is currently being revised in view of the reorganization of the calculus sequence.

Complete Publication List

Publications in Refereed Journals

• Kernels for the tangential Cauchy - Riemann equations, Transactions of the American Mathematical Society, 262 (1980), pg. 1-49.

• Kernels for the local solvability of the tangential Cauchy - Riemann equations, Duke Mathematical Journal, 47 (1980), pg. 903-921.

• CR extendability near a point where the first Levi form vanishes, Duke Mathematical Journal 48 (1981), pg. 665-684.

• Levi Geometry and the tangential Cauchy - Riemann equations on a real analytic submanifold of Cⁿ, Transactions of the American Mathematical Society, 272 (1982), pg. 357-374.

• (with J. C. Polking) Holomorphic extension of CR functions , Duke Mathematical Journal, 49 (1982), pg. 757-784.

• The extension of CR functions to one side of a submanifold of C^n , Michigan Mathematical Journal, 30 (1983) 183-189.

• (with J. Pitts) CR extension near a point of higher type, Duke Mathematical Journal, 52 (1985), pg. 67-102.

• (with Mei - Chi Shaw) A kernel approach to the local solvability of the tangential Cauchy - Riemann equations, Transactions of the American Mathematical Society, 289 (1985), pg. 643-658.

• (with J. Pitts and J. C. Polking) The local hull of holomorphy of a semirigid submanifold of codimension two, Michigan Mathematical Journal, 34 (1987), pg. 105-118.

• The holomorphic extension of CR functions near a point of higher type, Proceedings of the American Mathematical Society, 103 (1988), pg. 847-855.

• (with R. Dwilewicz) Subaveraging estimates for CR functions, Proceedings of the American Mathematical Society, 104 (1988), pg. 117-124.

• (with R. Dwilewicz and A. Nagel) The hull of holomorphy of a nonisotropic ball in a pseudo convex real hypersurface of finite type, Transactions of the American Mathematical Society, 323 (1991), pg. 209-232.

• (with A. Nagel) Local reproducing kernels on wedge-like domains with type 2 edges Pacific Journal of Math, Vol 167, No. 1, 1995, pg 1-47., full postscript version.

• (with Ariel Glenn and A. Nagel) Classes of model generic CR submanifolds of Cⁿ of CR dimension 1, Pacific Journal of Mathematics, 184-1 (1998), pg. 43-74. full postscript version.

• The holomorphic extension of C^k CR functions on tube submanifolds, Annales Polonici Mathmatici, LXX (1998), pg. 35-42. full postscript version .

• The holomorphic extension of H^p - CR functions on tube submanifolds , Proc. Am. Math. Soc., 127-5 (1999), pg. 1427-1435. full postscript version.

• CR Extension of L^p CR Functions on a Quadric Submanifold of Cⁿ, Pacific Journal of Mathematics, vol 201, No. 1, 2001, pg 1-18. full postscript version .

Papers Accepted

• CR Approximation on a Non-rigid Hypersurface Graph in Cⁿ, (joint with Roman Dwilewicz), to appear in the Pacific Journal of Mathematics.

Conference Proceedings and Research Announcements

• (with J. Pitts) CR extension near a point of higher type, C. R. Academie of Science (Paris), 298 (1984), pg. 9-12.

• The first and second Levi forms and CR extension, Proceedings of Symposia in Pure Mathematics, 41 (1984), pg. 25-38.

• A survey of recent CR extension results, Topics in Several Complex Variables, (Pitman Publishing), 112 (1985), pg. 80-89.

• (with A. Nagel) Representing Measures for Holomorphic Functions on Wedges, Princeton Conference on Harmonic Analysis in honor of Eli Stein, Princeton University Press,(1995).

Books Published

• CR Manifolds and the Tangential Cauchy - Riemann Complex , CRC Press, 1991
• Calclabs with Maple V, (co-authored with 7 other members of the Math Department), Brooks/Cole, 1994
• Ordinary Differential Equations with Maple VR3 , Barrow, Belmonte, Boggess, et al Brooks/Cole, 1996 preliminary edition
• Reorganization and rewrite of Stewart's Calculus book with an early vectors approach, 1999, Brooks/Cole Publishing.
• A First Course in Wavelets with Fourier Analysis joint with Fran Narcowich. Final draft completed in Fall 2000. Due to be published in Spring 2001 with Prentice Hall.
• Differential Equations with John Polking and David Arnold, 2001, Prentice Hall.

Book Collaboration

• Reorganization and rewrite of Stewart's Calculus book - in collaboration with Stewart and Brooks/Cole Publishing.

Laboratory Manual

• Calclabs with Maple V , with 7 other contributors from the Department of Mathematics at A&M, Brooks/Cole, 1994.

Talks and Colloquia

• AMS special session in several complex variables, May 1979, Iowa City, Iowa.

• Colloquium at Purdue University, April 1981.

• Colloquium at Rice University, May 1981.

• AMS annual meeting, January 1982, Cincinnati Ohio.

• AMS special session in several complex variables, March 1982, at Bryn Mawr, Philadelphia Pa.

• AMS special session in several complex variables, April 1982, at Madison Wisconsin.

• AMS special session in several complex variables, November 1982, at Baton Rouge La.

• Workshop in several complex variables, August 1983, at Mexico City.

• Texas partial differential equations conference, April 1984, at San Marcos Texas.

• Colloquium at Texas Tech University, July 1984, Lubbock Texas.

• AMS special session in several complex variables, April 1986, Indianapolis, Indiana.

• Invited talk at the University of Wisconsin, May 1987, Madison Wisconsin.

• Invited talk at the conference in partial differential equations and several complex variables, August 1987, Oberwolfach, West Germany.

• Visited Mathematical Sciences Research Institute, May 1988, Berkeley California.

• Invited talk at Purdue University, October 1988, West Lafayette Indiana.

• Invited talk at the University of Wisconsin, April 1990, Madison Wisconsin.

• Colloquia at the University of Colorado, February, 1991.

• Visited the University of Wisconsin, August, 1992.

• Maple demonstration at the Advanced Placement Calculus Conference, Dallas TX, December, 1993.

• Invited talk at the Special Session on Complex Function Theory, Vancover, Canada, December 1995.

• Invited hour talk at the Complex Analysis Symposium held in the Banach Center, Warsaw, Poland, July, 1997.

• Special Session in Several Complex Variables, AMS, San Antonio, TX, January 1999.

• Invited hour talk at the Complex Analysis Symposium held in the Banach Center, Warsaw, Poland, July, 2000.

• AMS Special Session, University of Kansas, March 2001.

• AMS Special Session Talk at AMS Meeting at the University of North Carolina, October, 2003.

Other Presentations

• Presentation on Department's VIGRE grant, April 2003, at the University of Washington