RESEARCH

Here is a pdf version of my CV (last updated February 2019).

Research Interests: Regularity theory for (subelliptic) degenerate PDEs, game theoretical interpretation of PDEs, mathematical theory of elasticity.

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Publications:

Articles:

• M. Lewicka, J. Manfredi and D. Ricciotti, Random walks and random Tug of War in the Heisenberg group, D. Math. Ann. (2019). https://doi.org/10.1007/s00208-019-01853-0
• D. Ricciotti, Regularity of p-orthotropic functions in the plane for $1 < p < 2$, (2018) to appear in Ann. Acad. Sci. Fenn. Math
• P. Lindqvist and D. Ricciotti, Regularity for an anisotropic equation in the plane, Nonlinear Analysis 177 (2018), part B, 628–636.
• D. Ricciotti, On the $C^{1,\alpha}$ Regularity of p-Harmonic Functions in the Heisenberg Group, Proc. Amer. Math. Soc. 146 (2018), no. 7, 2937–2952.
• M. Lewicka, A. Raoult and D. Ricciotti, Plates with incompatible prestrain of higher order, Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 7, 1883–1912

Monograph:

• D. Ricciotti, p-Laplace Equation in the Heisenberg Group, Regularity of Solutions, 2015, SpringerBriefs in Mathematics

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Invited Talks and Conferences/Workshops:

• "AMS Spring Eastern Sectional Meeting", April 13-14, 2019, University of Connecticut Hartford
• "Analysis and PDE seminar", April 11, 2019, Worcester Polytechnic Institute
• "Two Days on PDEs Bruno Pini Centenary Conference", June 21-22, 2018, University of Bologna
• "Joint Mathematics Meeting", Jan 10-13, 2018, San Diego
• "Frontiers of Interdisciplinary Mathematics", May 9-11, 2017, Penn State University
• "Nonconvexity, Nonlocality and Incompatibility: From Materials to Biology", May 5-7, 2017, University of Pittsburgh
• "KUMUNU Conference on PDE, Dynamical Systems and Applications 2017", April 21-23, 2017, University of Nebraska-Lincoln 
• "The Seventh Ohio River Analysis Meeting", March 25-26, 2017, University of Cincinnati
• "Analysis on Metric Spaces", March 10-11 2017, University of Pittsburgh
• "The Total Variation Flow and related Nonlinear Evolution Problems", July 11-15, 2016, University of Salzburg
• "SIAM Conference on Analysis of Partial Differential Equations (PD15) ", December 7-10, 2015, Scottsdale, Arizona
• "AMS sectional meeting", March 14-15 2015, Michigan State University
• "Prospects in applied mathematics", October 19-20 2014, University of Chicago
• "Evolutionary problems" Research Program, December 4-6 2013, Institute Mittag-Leffler, Sweden
• "Quasilinear PDEs and game theory", December 2-4 2013, Uppsala University, Sweden

 

TEACHING

Teaching Credentials:

• Mathematics Teaching Assistant Excellence Award, University of Pittsburgh, 2018
• Pitt-CIRTL Associate Certification in STEM Teaching, University of Pittsburgh, 2018
• Achievement in Pedagogy Badge, University of Pittsburgh, 2017
• Advancing Learning Through Evidence-Based STEM Teaching (CIRTL course, 2018)
• An introduction to evidence-based undergraduate STEM teaching (CIRTL course, 2016)
• Academy for Teaching and Learning Excellence - Peer observation program certification (Spring 2019, in progress)

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Teaching Experience

University of South Florida

Instructor:

• Engineering Calculus 1 - Section 004 (Spring 2019)
• Engineering Calculus 1 - Section 005 (Spring 2019)

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University of Pittsburgh

Instructor:

• Calculus 1 (Summer 2017, Summer 2016)
• Calculus 2 (Summer 2015)

Teaching Assistant:

• Business Calculus (Spring 2018, Fall 2014)
• Calculus 1 (Fall 2016, Fall 2015, Fall 2013)
• Calculus 2 (Spring 2018, Spring 2017, Fall 2016, Spring 2016, Fall 2015, Fall 2014)
• Calculus 3 (Fall 2017, Fall 2014)

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University of Bologna

Teaching Assistant:

• Mathematical Analysis for Engineers (Fall 2012)

MATERIALS FOR CALCULUS

Review Materials:

Algebra:

• Operations with Polynomials
• Factoring
• Algebraic fractions
• Polynomial Equations
• Inequalities
• Rational and Irrational Equations
• Exponential and Logarithmic Equations
• Inequalities 2

Trig:

• The Unit Circle
• Elementary Trig Equations
• Other Trig Functions
• Plotting sinusoidal/cosinusoidal functions

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Practice set for Calculus:

You can find practice problems sets from past courses at the following links:

Calculus 1

Calculus 2

Department of Mathematics & Statistics
4202 East Fowler Ave, CMC342
Tampa, FL
Email: ricciotti -at- usf.edu