Jack B. Brown
Professor Emeritus
Department of Mathematics and Statistics
Auburn University, AL 36849-5310
Parker Hall 340
(334)-844-6595
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Fields: Real Analysis and Applied Probability and Statistics
E-mail:brownj4@auburn.edu
Teaching Awards:
"
Editor Emeritus" of the
Real Analysis Exchange:
Was active Contributing Editor for 10 years, 1993-2003, and was
honored
by the Real Analysis Exchange at the 2009 Summer Symposium in
Real Analysis.
Co-organizer, along with colleague
Geraldo deSouza, of 19-year series of biannual Miniconferences on Real Analysis and Harmonic
Analysis (NSF funded for last 16 years). Schedules and some
conference photos available at Miniconcerence pages.
Recent publications:
- Differentiable restrictions of real functions
(pdf), Proc. Amer. Math.
Soc. 108 (1990), 391-398.
- Continuous-, derivative- and differentiable-restrictions of
measurable functions (pdf),
Fund. Math. 141 (1992), 85-95.
- Order independence and factor convergence in iterative scaling
(pdf),
Lin. Alg. and Appl. 190 (1993), 1-38, (with P. J. Chase and A. O.
Pittenger).
- Restriction theorems in real analysis (pdf),
Real Analysis Exchange 20(2) (1994/5), 510-526.
- Intersections of continuous, Lipschitz, Hölder class, and smooth
functions (pdf),
Proc. Amer. Math. Soc. 123 (1995), 1157-1165.
- C1-Intersection variant of Blumberg's theorem (pdf), Tatra Mtns. Math. Pubs. 24 (1998/9),
855-858.
- A simple proof that (s)/(s)0 is a complete Boolean
algebra (pdf), Real Analysis Exchange 14(2) (1998),
127-136 (with S. Baldwin).
- Nowhere monotone functions and functions of nonmonotonic type (pdf), Proc. Amer. Math. Soc. 127 (1999),
173-182, (with U. Darji and E. Larsen).
- Marczewski-Burstin-like characterizations of sigma-algebras, ideals,
and measurable functions (pdf), Colloq. Math.
127 (1999), 277-286, (with H. Elalaoui-Talibi).
- Mathematicians in Industry: Experiences of one high-tech migrant
worker (pdf), Alabama Journal of
Mathematics 25 (Fall 2001), 3-22.
- Smooth interpolation, Hölder continuity, and the Takagi - van der
Waerden function (pdf), Amer. Math. Monthly
110 (2003), 142-147 (with G. Kozlowski).
Recent invited lectures:
-
Southeastern Section Meeting,
Mathematical Association of America, Carson Newman College, April, 1994
(was 1994 Section Lecturer).
- Joint US-Poland Conference and
Workshop - "Problems in Real
Analysis", Lodz, Poland, June, 1994. Picture
of Jack at Polish Academy (in Warsaw) under the portrait of Edward
Marczewski.
-
2Oth Summer Symposium in Real Analysis, Univ. of Windsor,
Canada, June, 1996
- Summerschool on Real Functions Theory,
organized by the Slovak Academy of Sciences, September, 1996.
- Workshop
on Set Theory and Applications to Topology and Real Analysis, Gdansk
Poland, June, 1999.
- Gave the 2001 Lewis-Parker Lecture at the 51st
annual meeting of the Alabama Association of College Teachers of Mathematics
(AACTM), held at U. West Ala. in February, 2001
-
Symposium on General Topology and Abstract Analysis held
at Youngstown State Univ. March 23-26, 2001
- Gave the 2005
South Carolina MAA State Dinner Lecture.
Applied Experience: 25 summers plus 1 year at various
research centers in the US, including:
- Sandia National Laboratory (Albuquerque, NM).
- National Security Agency (Ft. Meade, MD).
- Center for Communications Research (Princeton, NJ).
- Center for Analysis (Newport Beach, CA).
- Bell Laboratories (Holmdel, NJ).
- Center for Computing Sciences (Bowie, MD).
- TRW Strategic Defense Systems Group (San Bernardino, CA). Click
here for picture of former TRW employees
now on AU Math faculty.
Places to Go
