CURRICULUM VITAE

Name: FERNANDA BOTELHO Department:MATHEMATICAL SCIENCES


EDUCATION
DEGREES DISCIPLINE INSTITUTION YEAR
Licenciatura (BS) Mathematics Universidade do Porto 1981
Mestrado (M.S.) Mathematics Universidade do Porto 1985
Ph. D. Mathematics University of California at Berkeley 1988

EXPERIENCE
RANK/POSITION DEPARTMENT/DIVISION INSTITUTION/COMPANY/ORGANIZATION PERIOD
Professor Mathematics University of Niigata 2018 (3 weeks)
Visiting Member Mathematics IMA 1996

HONORS/AWARDS
HONOR/AWARD INSTITUTION/COMPANY/ORGANIZATION YEAR
Dunavant Professorship University of Memphis 2013-2016
Prof Charles Morrey's Award University of California at Berkeley 1985
Fundacao Antonio D'Almeida Universidade do Porto 1981
Prof Gomes Teixeira Award Universidade do Porto 1977

TEACHING EXPERIENCE
SUBJECT INSTITUTION
Functional Analysis University of Memphis
Proofs Methods (Math 2702) UofM
Real variables I and II (Math 7350 and 7351) UofM
Pre-Calculus UofM
Math Connections, Functions and Modeling UofM
Topology (Math 7411) UofM
Special Problems in Mathematics UofM
Dissertation UofM
Introduction to Linear Algebra (Math 3242) UofM
A course on Banach Algebras UofM
Workshop for Sr High Mathematics UofM
Theory of Differential Equations UofM
Teaching Seminar/ Consulting and Research UofM
Individual Study in Mathematics UofM
Algebraic Theory II UofM
Algebraic Theory I UofM
Introduction to Number Theory UofM
Elementary Calculus UofM
Mathematics for Elementary School Teachers UofM
Math 7283 (Analysis for Teachers II) UofM
Math 1830 (Elementary Calculus) UofM
Mathematics for Elementary School Teachers (Math 1480) UofM
Math 3242 (Introduction to Linear Algebra) UofM
Calculus I (MATH 1910) University of Memphis
Calculus II (Math 1920) University of Memphis
Calculus III (Math 2110) University of Memphis
Introduction to Topology (4411/6411) University of Memphis


STUDENT ADVISING/MENTORING
CURRENT DEGREE NAME YEAR OF GRADUATION
Ph.D Priyadarshi Dey 2021
Ph.D. Holly Renaud 2019
Ph.D. Aaron L. Taylor 2016
Ph.D. Annita Davis 2011
M.S. Tyler Turner 2008
Ph.D. Angela Murdock 2006
M S Kimberly Duran 2016


CREATIVE ACTIVITIES
ACTIVITY DATES LOCATION SPONSORSHIP
Operators on Banach Algebras and Related Topics- Member of the Scientific Committee July 16-17 Virtual conference. https://baop.modares.ac.ir/ Tarbiat Modares University, Iran
WOTCA 2022- June 20-24, 2022 Faro, Portugal (https://sites.google.com/view/wotca22) IST Lisbon
YRFAMP 2022 June 21-23 Faro Portugal (https://sites.google.com/view/yrfamp22) IST e University of Faro
Colloquium talk : "Contractive Projections and Lifting of Operators on Banach Spaces" (May 6, 2021) May 6 , 2021 Universidade de Aveiro (virtual)  
Colloquium talk : Liffting Properties April 30, 2021 Mathematics-RKMVERI (virtual)  
Talk: Isometries and Projections on Banach spaces January 27, 2021 Lisbon Universidade Nova de Lisboa
Talk: Contractive projections and lifting of operators on Banach space June 2021 Lisbon IST
Mini-course "Isometries on Banach spaces" December 2020 India Indian Institute of Technology Hyderabad
One day in Operator Theory February 15, 2020 University of Memphis NSF-Award DMS-1546799
Workshop for Women in Operator Theory 2020-2021 Lorentz Center NSF-AWM-Lorentz Center Netherlands
Recent Trends in Operator Theory May 3-5, 2018 University of Memphis NSF-Award DMS-180231
Methods in Operator Theory Conference April 21-22, 2017 University Of Memphis NSF Award
Special Session at AMS--Advances in Operator Theory and Applications October 17-18, 2015 University Of Memphis AMS and UofM
Workshop- Problems and Recent Methods in Operator Theory October 15-17, 2015 University Of Memphis NSF-Pearson Education and UofM
Applied Math Forum in Boston” . Oct 2011 Boston Pearson
Redesign Method for College Algebra and Trigonometry 2012 University of Memphis CRF
co-organizer of the Special Session "Isometries , Preservers and Disjointness Preserving Operators” May 15-18 University of Memphis  
local organizer for the conference ICOMAS2012 May 15-18 University of Memphis  
Redesign Method for Elementary Calculus 2008-present UofM  
WCNA 2008-Special Session (co-organization with Valery Gaiko) July 1-7, 2008 Orlando - Florida WCNA
The 31st SIAM Southeastern-Atlantic Section Meeting 4-5 May 2007 Department of Mathematical Sciences-- Uof M SIAM, OakRidge National Laboratory, UofM
Fluids And Waves - Recent Trends in Applied Analysis May 11-13, 2006 Department of Mathematical Sciences-- Uof M NSF, UofM
Design of Self-Paced Program for Elementary Calculus UofM    
Redesign of Precalculus Su 2010 UofM  

Books Published

Recent trends in operator theory and applications" CONM Math., 737, Amer. Math. Soc., Providence, RI, 2019 (editor: Fernanda Botelho).

"Problems and Recent methods in Operator Theory", CONM 687 (2017) Amer. Math. Soc., Providence, RI (editors:Fernanda Botelho, Raena King and T.S.S.R.K.Rao )

"Fluids and Waves Recent Trends of Applied Analysis" CONM vol 440 (2007) (editors: Fernanda Botelho, Thomas Hagen and James Jamison).

Refereed Journal Publications

Abdullah Bin Abu Baker and Fernanda Botelho, Numerical index of vector-valued function spaces, Linear and Multilinear Algebra (2021) accepted

F. Botelho and D. Iliševic, On isometries with finite spectrum, Journal of Operator Theory (2021) accepted

Monika, Botelho, Fernanda; Fleming, Richard J. The Existence of linear selection andthe quotient lifting property, IJMA(2021), accepted

Botelho, Fernanda; Fleming, Richard J. The dual of the space of bounded operators on a Banach space. Concr. Oper. 8 (2021), no. 1, 48–59.

F. Botelho, P. Dey and D. Iliševic, Hermitian projections on some Banach spaces and related topics. Linear Algebra Appl. 598 (2020), 92–104.

F. Botelho and H. Renaud, Topological properties of operations on spaces of differentiable functions. Adv. Oper. Theory 4 (2019), no. 1, 305–320.

F. Botelho and T. S. S. R. K. Rao, A note on bi-contractive projections on spaces of vector valued continuous functions. Concr. Oper. 5 (2018), no. 1, 42–49.

F. Botelho and T. Miura, Examples of generalized bi-circular idempotents on spaces of continuously differentiable functions. J. Math. Anal. Appl. 465 (2018), no. 2, 795–802.

F. Botelho, Bi-contractive projections on spaces of vector-valued continuous functions. Acta Sci. Math. (Szeged) 84 (2018), no. 1-2, 209–226.

F. Botelho and J. Jamison Surjective isometries on absolutely continuous vector valued function spaces  CONM 687 55-67 (2017)

F. Botelho, L. Molnár and G. Nagy, Linear bijections on von Neumann factors commuting with ?-Aluthge transform. Bull. Lond. Math. Soc. 48 (2016), no. 1, 74–84. 47B49

F. Botelho "Erratum to: Surjective isometries on spaces of vector valued continuous and Lipschitz functions." Positivity 20 (2016), no. 3, 757–759. 47B47

F. Botelho and T.S.S.R.K. Rao "On algebraic reflexivity of sets of surjective isometries between spaces of weak* continuous functions" J. Math. Anal. Appl. 432 (2015), no. 1, 367–373.

F. Botelho and J. Jamison Algebraic and topological properties of the group of isometries on classes of vector valued function spaces. Banach J. Math. Anal. 9 (2015), no. 4, 221–233.

F. Botelho "Isometries and Hermitian operators on Zygmund spaces". Canad. Math. Bull. 58 (2015), no. 2, 241–249.

F. Botelho and J. Jamison Algebraic and invariance properties of the group of isometries. Linear Algebra Appl. 471 (2015), 531–543.

F. Botelho and J. Jamison "Isometries on the vector valued little Bloch space" Illinois J. Math. 58 (2014), no. 3, 629–646.

F. Botelho and J. Jamison Homomorphisms on a class of commutative Banach algebras. Rocky Mountain J. Math. 43 (2013), no. 2, 395–416

A. B. Abubaker, F. Botelho and J. Jamison "Representation of Generalized Bi-Circular Projections on Banach Spaces," Acta Sci. Math. (Szeged) .

F. Botelho, J. Jamison, A. Jiménez-Vargas and M. Villegas-Vallecillos Hermitian operators on Banach algebras of Lipschitz functions  Proceedings AMS vol 142:10 (2014)  3469-3481. 

F. Botelho, J. Jamison and B. Zheng "Circular Projections on minimal norm ideals of B(H)" Linear and Multilinear Algebra vol 61:10 (2013) 1339-1347.  

F. Botelho ,J. Jamison and L. Molnar Algebraic reflexivity of isometry groups and automorphism groups of some operator structures J. Math. Anal. Appl. 408 (2013) 177–195. 

F. Botelho, J. Jamison and L. Molnar Surjective isometries on Grassman spaces Journal of Functional Analysis 265 (2013) 2226–2238. 

F. Botelho, J. Jamison, A. Jiménez-Vargas, M. Villegas-Vallecillos "Hermitian operators on Lipschitz function spaces"  Studia Math. 215:2 (2013)  127–137.  

F. Botelho and J. Jamison Surjective isometries on spaces of vector valued continuous and Lipschitz functions Positivity 17 (2013) 395-405. 

F. Botelho and A. Davis Stability behavior for unsupervised learning Phys. D 243 (2013), 111–115. 

F. Botelho, J. Jamison and B. Zheng "Isometries on spaces of vector valued Lipschitz functions"  Positivity 17 (2013), no. 1, 47–65. 46E40 (46B04) 

Anna Bargagliotti, F. Botelho, Jim Gleason, John Haddock and A. Windsor The effectiveness of blended instruction in post-secondary general education mathematics courses International Journal of Teaching Mathematics Education (IJTME) (2012) volume 19:3, pg 83-94. 

F. Botelho and J. Jamison Some results on the thickness and thinness of Banach spaces Acta Sci. Math. (Szeged) 78:1-2(2012), 173-186. 

F. Botelho and J. Jamison and A. Jiménez-Vargas Projections and averages of isometries on Lipschitz spaces  J. Math. Anal. Appl. 386 (2012), no. 2, 910–920. 

F. Botelho and J. Jamison and B. Zheng  Strict isometries of arbitrary orders Linear Algebra Appl. 436 (2012), no. 9, 3303–3314. 

F. Botelho, R. Fleming and J. Jamison "Extreme points and isometries on vector-valued Lipschitz spaces" J. Math. Anal. Appl. 381 (2011), no. 2, 821–832. 

F. Botelho and J. Jamison "Projections as averages of isometries on minimal norm ideals"  Linear Algebra Appl. 435 (2011), no. 6, 1344–1355. 

F. Botelho and J. Jamison "Algebraic and topological reflexivity of spaces of Lipschitz functions" Rev. Roumaine Math. Pures Appl. 56 (2011), no. 2, 105–114. 

F. Botelho and J. Jamison "Composition operators on spaces of Lipschitz functionsActa Sci. Math. (Szeged) 77 (2011), no. 3-4, 621–632.  

F. Botelho and J. Jamison "Elementary operators and the Aluthge transform" Linear Algebra Appl. 432 (2010), no. 1, 275–282. 

F. Botelho and J. Jamison  " Isometric properties of elementary operators"    Linear Algebra Appl. 432 (2010), no. 1, 357–365. 

F. Botelho and J. Jamison "Generalized bi-circular projections on C(Ù,X)"  Rocky Mountain J. Math. 40 (2010), no. 1, 77–83. 

F. Botelho and J. Jamison  " Algebraic reflexivity of sets of bounded operators on vector valued Lipschitz functions"  Linear Algebra Appl. 432 (2010), no. 12, 3337–3342. 

F. Botelho "On the existence of n  2-isometries on l p  -spaces" Acta Sci. Math. (Szeged) 76 (2010), no. 1-2, 183–192. 

F. Botelho and J. Jamison   Differential equations in Schatten classes of operators Monatsh. Math. 160 (2010), no. 3, 257–269. 

F. Botelho and J. Jamison "Homomorphisms on algebras of Lipschitz functions"  Studia Math. 199:1 (2010) 95-106 .  

F. Botelho and J. Jamison   Projections in the convex hull of surjective isometries Canad. Math. Bull. 53 (2010), no. 3, 398–403. 

F. Botelho and J. Jamison "Generalized bi-circular projections on Lipschitz spaces" Acta Sci. Math. (Szeged) 75 (2009), no. 1-2, 103–112. 

F. Botelho and J. Jamison "Topological reflexivity of spaces of analytic functions" Acta Sci. Math. (Szeged) 75 (2009), no. 1-2, 91–102. 

F. Botelho and Annita Davis "Differential systems on spaces of bounded linear operators"  Int. J. Pure Appl. Math. 53 (2009), no. 1, 95–107. 

F. Botelho and J. Jamison "Surjective isometries on spaces of differentiable vector-valued functions" Studia Math. 192 (2009), no. 1, 39–50. 

F. Botelho and J. Jamison Essential norm and compactness of combinations of weighted composition operators Int. J. Funct. Anal. Oper. Theory Appl. 1 (2009), no. 2, 129–140.         

F. Botelho and J. Jamison "Generalized bi-circular projections on spaces of analytic functions" Acta Sci. Math. (Szeged) 75 (2009), no. 3-4, 527–546. 

F. Botelho and J. Jamison Nonlinear differential equations in B(H)  motivated by learning models J. Dynamical Systems and Differential Equations 21 (2009), no. 4, 595–606. 

F. Botelho and J. Jamison "An extension of Cambern's theorem" Rev. Roumaine Math. Pures Appl. 54 (2009), no. 3, 181–188. 

F. Botelho and J. Jamison "Projections on tensor products of Banach spaces" (2008)
Archiv der Mathematik 90 (4), 341-352. 

F. Botelho and J. Jamison "Algebraic reflexivity of C (X, E) and Cambern’s theorem" (2008)
Studia Mathematica 186 (3), 295-302. 

F. Botelho and J. Jamison Algebraic and topological reflexivity properties of lp (X) spaces (2008)
Journal of Mathematical Analysis and Applications 346 (1), 141-144. 

F. Botelho and J. Jamison and A. Murdock Single-pulse solutions for oscillatory coupling functions in neural networks  (2008) Journal of Dynamics and Differential Equations  20 (1), 165-199. 

F. Botelho and J. Jamison Generalized bi-circular projections on minimal ideals of operators
Proceedings of the American Mathematical Society (2008) 136 (4), 1397-1402.  

   Projections as convex combinations of surjective isometries on C (Ù) Journal of Mathematical Analysis and Applications (2008) 341 (2), 1163-1169.

F. Botelho, J. Jamison and A. Murdock "Retrieving an Integral-Differential Equation from an Initial Pulse" Communications and Applied Analysis Vol 11:2 (2007) 327-337. 

A. Murdock, F. Botelho and James Jamison "Persistence of Spatial Patterns Produced by Neural Field Equations" Physica D 215 (2006) 106-116.

F. Botelho, J. Jamison and A. Murdock "Dynamical structures emerging in higher order nonlinear systems" Communications in Applied Analysis 10-1 (2006) 43-56.       

F. Botelho and V. Gaiko "Global analysis of planar neural networks",  Nonlinear Analysis  64:5  (2006) 1002-1011.    

F. Botelho and J. Jamison "Differential Equations in Spaces of Compact Operators", J. Math. Anal. Appl. 308, (2005), 105-120.     

F. Botelho and V. Gaiko "Dynamical systems: bifurcations and applications" IFNA-ANS International Journal "Problems of nonlinear analysis in engineering systems"  v.11:22, 2005, pp.100-107.       

F. Botelho and J. Jamison "Qualitative behavior of differential equations associated with artificial neural networks" (2003) Journal of Differential Equations and Dynamical Systems (2004) 16:1 pp.179-204.

F. Botelho and J. Jamison "Chaoticity generated by a learning model" Journal of Math Analysis and Applications (2003) 286:2 pg.618-635.

F. Botelho and J. Jamison "A learning rule with generalized hebbian synapses" Journal of Math Analysis and Applications (2002) 207 pg.529-547.

F.Botelho "A Class of Canonical Models for Weakly Connected Neural Networks", Nonlinear Analysis, vol. 47 (2001) pg. 4467-4477.

F. Botelho and M. Garzon "Dynamical Approximation by Recurrent Neural Networks", Neurocomputing, vol. 29 (1999) pg. 25-46.

F. Botelho "Dynamical Features Simulated by Recurrent Neural Networks" Neural Networks, vol.12 (1999) pg.609-615.

F. Botelho A "Characterization of Hard-Threshold Functions" Complex Systems, Vol 11, #3 (1998) pg 205-213.

F. Botelho, A. Jagota A.& M. Garzon "An Analog Hopfield Network" Neural, Parallel & Scientific Computation, vol.4 #3 (1996) pg. 263-276.

F. Botelho, A. Jagota A., M. Garzon & X. Wang "Absence of Cycles in Symmetric Neural Networks" Neural Computation vol. 10, #5 (1998), pg. 1235-1250. (extended abstract published NIPS (1995), pg. 1034-1039.)

F. Botelho and M. Garzon "Dynamical Approximation by recurrent neural networks" Neurocomputing, 29 (1999) 801-806.

F. Botelho and M. Garzon "Shadowing on Fractals" Fractals vol.2 #2 (1994) pg 307-311.

F. Botelho and M. Garzon "Boolean Neural Nets are Observable" Theoretical Computer Science vol. 134 (1994) pg 51-61. Corrigendum, TCS (1997).

F. Botelho and M. Garzon "Generalized Shadowing Properties" Random and Computational Dynamics Journal, vol.2 #2 (1993) pg 145- 164.

F. Botelho and L. Chen "Chain Transitivity and the Rotation Shadowing for Annulus Homeomorphisms" Proc. AMS, vol.118 (1993) pg. 1173-1177.

F. Botelho and M. Garzon "On Dynamical Properties of Neural Network" Complex Systems, vol. 5 (1991) pg. 401-413.

F. Botelho "Rotational Entropy For Annulus Endomorphisms" Pac. J. of Math, vol. 151 (1991) pg. 1-19.

F. Botelho "Rotation Sets for Annulus Homeomorphisms" Pac. J. Math, vol. 132 (1988) pg. 251-266.

Refereed Conference Publications

Fernanda Botelho and James Jamison, Hermitian operators on H^p(?^n). Function spaces in analysis, 29–47, Contemp. Math., 645, Amer. Math. Soc., Providence, RI, 2015.

A. E. Bargagliotti, F. Botelho, J. Gleason, J. Haddock, A. Windsor  "A Report on the Effectiveness of Blended Instruction in General Education Mathematics Courses" Proceedings Of The 14th Annual Conference On Research In Undergraduate Mathematics Education (2011) 25-38

F. Botelho and J. Jamison "Homomorphisms of non-commutative Banach * -algebras of Lipschitz functions" Function spaces in modern analysis, 73–78, Contemp. Math., 547, Amer. Math. Soc., Providence, RI, 2011. 

F. Botelho and A. Davis "Models of learning and the polar decomposition of bounded linear  operators Proceedings of the Eighth Mississippi State-UAB Conference on Differential Equations and Computational Simulations, 31–36, Electron. J. Differ. Equ. Conf., 19, Southwest Texas State Univ., San Marcos, TX, 2010. 

F. Botelho and A. Murdock “A map with Invariant Cantor set of positive measure ” WCNA 2004  special vol. of Nonlinear Analysis   ref # NA4252.     

F. Botelho and J. Jamison "Stability behavior of a learning rule with generalized hebbian synapses" published in CNPSC Proc., Atlanta (2002).

F. Botelho "A Characterization of a Class of Piecewise Linear Models with a Maximum Number of Fixed Points" Proc. Topology and its Applications, Spring Topology and Dynamics Conference (2002).  

F. Botelho "Generalized Brain-State-in-a-Box Models with a Maximum Number of Fixed Points", Intelligent Engineering Systems and Artificial Neural Networks, vol.10 ASME (2000) pg. 97-112.

F. Botelho, F. Nino, G. Hernandez, and A. Quas "Random Iterated Neural Networks as Dynamical Systems Universal Approximators", Proceedings of the fifth International Symposium on Artificial Life and Robotics, vol.2 AROB (2000).

F. Botelho, F. Nino and G. Hernandez "Associative Storage of Information in n-dimensional dynamical Systems" Proceedings of SCI/ISAS'99.

F. Botelho, F. Nino, G. Hernandez, and A. Quas "Random Iterated Neural Networks: Asymptotic Behavior", Smart Engineering Systems: Neural Networks, Fuzzy Logic, Evolutionary Programming, and Rough Sets, vol. 9 (1999) ASME Press.

F. Botelho Stability Properties of BSB models", Lecture Notes in Computer Science, Springer Verlag, vol. 1606 (1999) pg. 297-301.  

F. Botelho and M. Garzon "Neural Networks of Rank One" Proc. 13th Conf. in Applied Math, vol. 13 (1997) pg. 47-56.

F. Botelho and M. Garzon "Dynamical Approximation by Neural Networks" Proc. of the Swedish Conference on Connectionism (1995) pg 57-66, LEA publishers.  

F. Botelho and A.Jagota "Decoding Independent Sets from a Continuous Hopfield Network" Proc. of Neural, Parallel & Scientific Comp, Vol. 1 (1995) pg. 134-138.

F. Botelho and M. Garzon "Dynamical Approximation by Analog Networks" NIPS (1993) pg. 456-463.

F. Botelho and M. Garzon "Real computation with Cellular Automata" Proc. Nato Workshop on Coop. Systems and Cellular Automata, Les Houches, France (1992).

F. Botelho and M. Garzon "Real Computation with Neural Networks" Proc. of Southcon (1992) pg. 207-213.

F. Botelho and L. Chen "On the Rotation Shadowing Property for Annulus Homeomorphisms" Lect. Notes in Pure and Applied Math, vol.149 (1993) pg. 89-99.  

F. Botelho and M. Garzon "Global Dynamics In Neural Networks III" IJCNN 1991 Seattle, vol. II (1991) pg. 341-348 (ext abstract).  

Non-Refereed Publications

F. Botelho and T. Miura, Contractive projections on subspaces of continuous functions, RIMS, vol 2035, Kyoto University 156-168 (2017).

F. Botelho Saturated Linear Recurrent Neural Networks with Maximum Capacity" IMA Series #1569 (1998).

Presentations - Conference (refereed *)

"Contractive Projections in vector valued spaces of continuous functions" at the Recent Advances in Operator Theory and Operator Algebras (OTOA-2016) at The Indian Statistical Institute in Bangalore, Dec 13-22, 2016.

"Algebraic Reflexivity of Sets of operators" at the The international meeting on Commutative algebra, Banach algebras (preserver problem), Hypergroups and their related topics Workshop, Nara University of Education (Japan) Nov 4-6, 2016

"Contractive Projections on Banach Space" Researches on isometries from various viewpoints RIMS Workshop at the Research Institute for Mathematics and Sciences (RIMS), Kyoto University. Oct 30-Nov2, 2016

“Surjective Isometries and Hermitian Operators on Zygmund spaces” IOWTA 14 at the session “Concrete Operators” (July 2014-Amsterdam)

“Special operators on spaces of analytic functions” AIMS 2014 at the Special Session on applied analysis and dynamics in engineering and sciences (July 2014- Madrid)

INVITED PRESENTATIONS (selected list)

"Dynamical systems: bifurcations and applications" session at WCNA 2004 (Florida) (co-organized with V. Gaiko).

"A Learning Rule with Generalized Hebbian Synapses" at the International Congress in Computation and Applied Mathematics, Leuven, Belgium, July 2002. (http://www.cs.kuleuven.ac.be/conference/iccam2002/iccam.htm)

"Convergence of a learning rule with generalized hebbian synapses" Spring Topology and Dynamics Conference, 2002

University of Texas Austin (http://at.yorku.ca/cgi-bin/amca/caik-03)

"Dynamics of Neural Networks model" at the International Conference in Nonlinear Analysis, Catania, Italy, July 2000.

"Stability Properties of BSB models", presented at the IWANN 99, Alicante, Spain, June 1999 .

"Neural Networks: Continuous versus Discrete Models" - Colloquium talk, Feb 1997, University of Mississippi, Oxford.

"Lyapunov Techniques for Discrete Neural Networks" - invited talk at the Dynamical Systems Seminar, Feb 1997 at the Mathematics Department of the University of Cincinnatti.

"Dynamics of Discrete Neural Networks" - Colloquium talk, Feb 1997 at the University of Cincinnati.

"Dynamical Simulations via Neural Networks" - Colloquium talk, July 1996 at the A. Mickiewicz University, Poznan, Poland.

One talk at the 2001 Math Teachers Conference, UofM.

One talk in the Analysis seminar, 2000, UofM.

One talk at the Math Club, 2000, UofM.

Participant in the Computational Neuroscience workshop (IMA) 1998.

Participant in the 1-day conference at IMA "Knowledge and Distributed Intelligence (KDI) -- Opportunities in the

Mathematical Sciences, March 1998.

Participant in a weekly interactive seminar on Bifurcation with Symmetries at IMA (1998).

Participant in a biweekly seminar on Nonlinear Dynamics at IMA (1998).

Five talks at the Neural Networks seminar, 1998-1999, UofM.

One talk at the Graduate Assistants seminar, 1998, UofM.

Six talks in the Dynamical Systems seminar and one talk in the Analysis of Neural Networks seminar,1996-1997, UofM.


SUPPORT

(External)

ACTIVITY AGENCY/SOURCE AMOUNT PERIOD
Training of graduate assistants (co-PI)NSF-DUE   2018-2022
Working Groups for Women in Operator Theory (PI)Lorentz Center 15,666.08 euros July 2021
Working Groups for Women in Operator TheoryComposito Foundation 2000.00 euros July 2021
Trends in Operator Theory WorkshopNSF $35,000.00 2019-2022
Problems and Recent Methods in Operator Theory - ConferenceNSF $38,753.00 September 2015-August 2017
Recent Trends in Operator Theory and ApplicationsNSF $25000.00 2018
Pearson GrantPearson Publishing Company $45,000 2011-2014
The Memphis Mathematics and Science Teaching Induction Fellowship (MMASTIF)(co-pi) NSF $1,900,000 2009-2014
Common Core in the Algebra Classroom(co-pi)Teaching Quality Grant Program $75,000 2013
THE 31st SIAM-SEAS CONFERENCESIAM-SEAS $6000 May 2007
Fluids and Waves Recent Trends in Applied Analysis ConferenceNSF $10,000 May 2006
THE 31st SIAM-SEAS CONFERENCEOakRidge National Laboratory $2500 May 2007
Summer session of the IAS Park City Mathematics InstituteInstitute for Advanced Study $2,000 July 1998
"Classroom Microcomputer Laboratories for Calculus, Differential Equations and Linear Algebra"(co-pi)ILI-IP/ NSF $48,000 1996-1997
Stipend to visit the Regional Institute in Dynamical Systems (Boston)NSF $10,000 1991(U) & 1992 (U)
FellowshipNATO $30,000 1982-1985
Travel AwardAWM/NSF $1,000 1991
Internal Support
ACTIVITY AGENCY/SOURCE AMOUNT PERIOD
Course Redesign for PreCalculus UofM $2500 2012
Faculty Researcg Grant University of Memphis $6500 Su2010
Course Redesign for College Algebra and Trigonometry UofM $2500 Su 2010
SEAS-SIAM conference on Wave Phenomena, Fluid Motion and Applications AEF $750 2007
Graduate Students Recruiting Program in Mathematical Sciences CGS/Peterson’s Inclusive Graduate Community Grant 2007-2008 $2500 Fall 2007
Faculty Development Grant University of Memphis   Spring 1998
Matching Funds for the ILI-IP/NSF University of Memphis $48,000 1996-1997
Summer Research Grant Univ. of Memphis $2,000 1990

OUTREACH

Project/s summary

PROJECT PARTICIPANTS PERIOD SPONSORSHIP
Working Groups for Women in Operator Theory 50 July 26-30 Lorentz Center-Holland
One Day in Operator Theory 25 February 15, 2020 NSF-DMS-1802313
Organizer 2015 PRMO 50 October 2015 NSF-154679
Methods in operator theory and applications Conference 25 April 2017-MOTA 2017 NSF-154679
RTOTA2018 Conference 25 May 2017 NSFDMS-1802313
Special Session on Advances in Operator Theory and Applications (co-organizer) 25 participants October 17-18 AMS and UofM
Problems and Recent Methods in Operator Theory 60 Oct 15-16 NSF Award

SERVICE
UNIVERSITY COMMITTEE/ACTIVITY PERIOD
University of Memphis Advisory to the Chair 2019-
University of Memphis College Council Sp 2021-
University of Memphis Graduate Coordinator (Mathematics) 2015-
University Of Memphis Graduate Programs Director 2015-2017
Department Calculus/ Stat "Comparative study of similar courses at other institutions" 2007-2008
College/School Tenure and Promotion College Committee 1995-1996
University    

Appendix A

Academic Year (please indicate year) Course # Course Name Credit Hours Percent Taught Enroll Labratory Supervised(S)/Instructed(I) New Preparation (Y) /(N)
Fall 2021 4350/6350 Introduction to Real Analysis I 3 100% 9    
Fall 2021 8311 Individual study in Functional Analysis 3 100% 2    
Fall 2021 9000 Dissertation 1 50% 1    
Fall 2021 9000 Dissertation 3 100% 1    
Spring 2020 9000 Dissertation 1 50% 1    
Spring 2020 9000 Dissertation 1 100% 1    
Spring 2020 3411 Honors Seminar II 1   13    
Spring 2020 3410 Honors Seminar I 1   6    
Spring 2020 2421 Honors Calculus II 4 50% 19    
Fall 2019 7411 Topology 3 100%      
Spring 2016 Math 7353 Functional analysis 3 100% 8   ye
Spring 2016 1920 Calculus II 4 100% 36 Y no
Fall 2013 Math 2110 Calculus III 4 100 26 n y
Fall 2013 Math 7350 Real Variables I 3 100 11 n y
Spring 2013 1730 PreCalculus 4 100 24 y y
Spring 2013 7411 Topology 3 100 3 n y
Spring 2012 Math 4001 Math Connections Functions and Modeling 3 100 8 n y
Su 2012 Math 6019 Proofs Methods 3 100 2 n y
Spring 2011 Math 1730 College Algebra and Trigonometry 4 100 39 y y
Spring 2011 Math 1830-012 Elementary Calculus 3 100 42 y n
Spring 2011 Math 8821-013 Special Problems in Math 3 100 1 n y
Spring 2011 Math 9000 Dissertation 3 100 1 n y
Fall 2011 Math 3242-002 Linear Algebra 3 100 16 n y
Fall 2011 Math 4001 Math Connections, Functions and Modeling 3 100 2 n y
Fall 2011 Math 7/8025 A Course on Banach Algebras 3 100 8 n y
Spring 2010 Math 1830-005 Elementary Calculus 3 100 43 y n
Spring 2010 Math 8813 Direct Research in Math 3 100 1 n y
Fall 2010 Math 4/6411 Topology 3 100 6 n n
Fall 2010 Math 7174 Workshop Sr Hi Math 3 100 4 n y
Fall 2010 Math 8395 –Theory of Differential Equations 3 100 1 n y
Fall 2010 Math 9000 –Dissertation 3 100 1 n y
Spring 2009 Math 1830-011 Elementary Calculus 3 100 41 y n
Spring 2009 Math 1830-012 Elementary Calculus 3 100 27 y n
Spring 2009 Math 7821 Special Problems in Mathematics 3 100 1 n y
Spring 2009 Math 7/8960 Teaching Seminar /Consulting and Research 3 100 6 n y
Spring 2009 Math 7996 –Thesis 3 100 1 n y
Spring 2009 Math 8812 Individual Study in Mathematics 3 100 1 n y
Fall 2008 Math 7996 Thesis 3 100 1 n y
Fall 2008 Math1830-001 Elementary Calculus 3 100 53 y n
Fall 2008 Math1830-001 Elementary Calculus 3 100 57 y n
Spring 2007 Math 7996 Thesis 3 100 1 n y
Spring 2007 Math 7262 Algebraic Theory II 3 100 9 n y
Spring 2007 Math 1830 Elementary Calculus 3 100 49 n n
Fall 2007 Math 7996 Thesis 3 100 1 n y
Fall 2007 Math 7261 Algebraic Theory I 3 100 8 n y
Fall 2007 Math 1830 Elementary Calculus 3 100 43 n n
Spring 2006 1830 Elementary Calculus 3 100 40   n
Spring 2006 7382 Real Analysis II for Teachers 3 100 3   n
Fall 2005 1830-07 Elementary Calculus 3 100 60   n
Fall 2005 1830-06 Elementary Calculus 3 100 50   n
Spring 2005 7382 Introduction to Analysis II 3 100 5 I Y
Spring 2005 7411 Point set Topology 3 100 12 I Y
Fall 2004 1830 Elementary Calculus 3 100 60 I N
Fall 2004 4/6411 Topology 3 100 7 I N
Spring 2004 8812 Individual Study Math/Stat 6 100 1 I Y
Spring 2004 8812 Special Problems in Math 3 100 3 I Y
Fall 2003 1830 Elementary Calculus 3 100 65 I N
Fall 2003 6/411 Topology 3 100 10 I  
Fall 2003 8812 Special Problems in Math 3 100 3 I Y
Spring 2003 3581 College Geometry 3 100 11 I Y
Spring 2003 1830 Elementary Calculus 3 100 80 I N
Fall 2002   Differential Equations 3 100 3 I Y
Fall 2002 1830 Elementary Calculus 3 100   I N
Fall 2002 1830 Elementary Calculus 3 100   I N
Spring 2002 7351 Real Analysis 3 100 4 I Y*
Spring 2002 1830 Elementary Calculus 3 100 80 I N*
Fall 2001 4/6411 Topology 3 100 3 I N
Fall 2001 1830 Elementary Calculus 3 100 80 I N*
Spring 2001 7411 Topology 3 100 7 I  
Fall 2000 1312 Elementary Calculus 3 100? 250   Y
Spring 1312 Elementary Calculus 3 100 240   N
2000 8821 Bifurcation Theory 3 100 3   Y

Appendix B

Priyadarshi Dey (2021) Instructor of Mathematics at Virginia Tech
 
Holly Renaud (Ph.D. 2019) AP Mathematics Teacher at East High School
 
Aaron L. Taylor (Ph.D. 2016) Lecturer of Mathematics at the College of Coastal Georgia.
 
Kimberly Duran (MS 2016)- Presently in the Doctoral Program at the University of Illinois at Urbana
 
Annita Davis (Ph.D. 2011): Instructor-coordinator at the  math department  UofM 2011-2017
 
Tyler Turner (MS 2008):  instructor of mathematics at Austin Peay State University (2008-present)
 
Angela Murdoch (Ph.D. 2006) Assistant Professor of mathematics at MTSU since 2007-
 

Appendix C

Additional Information on Research/Scholarship/Creative Activities
 
APPENDIX E
 
Additional Information on Outreach
 
1.Collaboration with the College of Education in providing support to the High School System (1995-1996). Visitations to Egypt-Raleigh High School and East High School.
 
2. Two lectures given to high school students who participated in an enrichment program organized by the College of Engineering (Spring 1994).
 
3. Participation in workshops on how to use TI 82, 85 and 92 to enhance math concepts in the classroom.
 
4. Participation in the construction of two computer labs (rooms 205 and 207 in Dunn Hall) 1996-1997.
 
5. Organized AMS Special Session on Dynamical Systems and Fractal Geometry (March 1997).
 
6. Co-organization of an AMS Special Session on Applications of Neural Networks (March 1997).
 
7. Co-organization of a workshop on Observability and Stability (NIPS 1993).
 
8.        Participation in the Univ. of Memphis, Spring Fest, (April 1997).
 
9.        Participation in Webct Instructional Technology Workshops, Univ. of Memphis
 
10.     Participation in a Spencer Foundation''s funded study on Underrepresented minorities in Science and Engineering. Study based at UCB (Fall 2001).
 
11.     Co-Organization of a Summer for High School students (forthcoming in July 2004).
 

Appendix D

A redesign method for PreCalculus  CFR (UofM) Su 2012 ($2500) 
 
“Common core in algebra classroom” (co-PI) Grant Proposal submitted to IQT in collaboration with D. Owens from CEHHS (funded) 2013- $75,000 
 
"The Memphis Mathematics and Science Teaching Induction Fellowship" (MMASTIF)(co-Pi  –NSF 2009-2014 (1.9m)
 
"Evolution of stochastic connecting weights in a learning model  for unsupervised learning"(PI)  Faculty Research Award (Su 2010) $6500.
 
" A redesign proposal for College Algebra and Trigonometry" Su 2010 ($2500)
 

Appendix E

Additional Information on Outreach
 
1.        Collaboration with the College of Education in providing support to the High School System (1995-1996). Visitations to Egypt-Raleigh High School and East High School.
 
2.        Two lectures given to high school students who participated in an enrichment program organized by the College of Engineering (Spring 1994).
 
3. Participation in workshops on how to use TI 82, 85 and 92 to enhance math concepts in the classroom.
 
4. Participation in the construction of two computer labs (rooms 205 and 207 in Dunn Hall) 1996-1997.
 
5. Organized AMS Special Session on Dynamical Systems and Fractal Geometry (March 1997).
 
6. Co-organization of an AMS Special Session on Applications of Neural Networks (March 1997).
 
7. Co-organization of a workshop on Observability and Stability (NIPS 1993).
 
8.        Participation in the Univ. of Memphis, Spring Fest, (April 1997).
 
9.        Participation in Webct Instructional Technology Workshops, Univ. of Memphis
 
10.     Participation in a Spencer Foundation''s funded study on Underrepresented minorities in Science and Engineering. Study based at UCB (Fall 2001).
 
11.     Co-Organization of a Summer for High School students (forthcoming in July 2004).