Stefani Mancas

Title
Professor
Department
Mathematics Department
College
College of Arts & Sciences

Areas of Expertise

1. Biomathematics: mathematical biology, cybernetics, nonlinear waves, solitons

2. Statistics; data mining, optimization, multiparameter sensitivity analysis

3. PDEs: nonlinear evolution equations, soliton interactions, hydrodynamics and fluid mechanics

4. ODEs: nonlinear dynamical systems, bifurcation theory, integrability of Riccati and Abel equations, special functions

5. Mathematical physics: quantum mechanics, fractional derivatives, general relativity, differential geometry, cosmology and inflation

6. Engineering: fluid dynamics, orbital mechanics, systems design and control, optimization, space flight

7. Blockchain: elliptic curve cryptography, cryptocurrencies, crypto mining

8. Performance analysis, youth sports development

9. Early talent identification, athletic and scholar development

Stefani Mancas


Dr. Mancas graduated Summa cum Laude from the Military Navy College in Constanta, Romania. After attending the faculty of Cybernetics from the Academy of Economic Studies in Bucharest, Dr. Mancas transferred to University of Central Florida, and graduated with a dual B.Sc. in Mathematics/Aerospace Engineering, and a Ph. D. in Mathematical Sciences from the Department Mathematics. The Ph.D. dissertation topic was "Dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation: Bifurcations and Spatiotemporal Structure", for which Dr. Mancas received the UCF Outstanding Dissertation Award.  Currently, Dr. Mancas is a tenured full Professor, and a researcher, in the Department of Mathematics at Embry-Riddle Aeronautical University in Daytona Beach, Florida.  The main research areas of interest are: finding analytical solutions to nonlinear evolution equations, and numerical simulations of nonlinear dissipative systems, such nonlinear Schrödinger equation with applications to quantum mechanics and biomathematics. Dr. Mancas is using techniques involving complex analysis and elliptic functions with applications to water waves, soliton theory, biological systems, and cosmology/inflation for nonlinear evolution equations, as well as applying special functions to problems involving optimization of the blockchain, where elliptic functions are used for cryptography.

Dr. Mancas is the organizer of national and international conferences in mathematical physics, and as an associate editor constantly reviews research articles for many scientific journals. Dr. Mancas holds a strong record of publications with over seventy refereed articles, and is often invited to attend workshops, and give lectures in conferences.

Dr. Mancas is also a US Soccer coach, pursuing the National C license, and the Scottish FA/UEFA C license, and has been playing soccer in different leagues in Europe, as well as in Central Florida Soccer League. Dr. Mancas has experience coaching young children ages U8-U14 with AC Milan Academy, and was the Volunteer Goalkeeper Coach for Men's Soccer team at Embry-Riddle for two years. Currently, Dr. Mancas is an Assistant Coach with Florida Kraze Krush youth competitive U11 Dragons.

Dr. Mancas enjoys coaching, reading, traveling, learning Latin, and other foreign languages. An important personal goal is to develop young children to become better pupils, and educate their bodies and minds through sports, such that they achieve their highest potential.



  • Ph.D. - Doctor of Philosophy in Mathematics, University of Central Florida
  • M.S. - Master of Science in Mathematical Science, University of Central Florida
  • B.S. - Bachelor of Science in Mathematics: Engineering/Physics Applied Mathematics, University of Central Florida

  • MA 243: Calculus & Analytical Geom III
  • MA 432: Linear Algebra
  • MA 532: Num Linear Algebra for Engin

Graduate courses

Boundary Value Problems (MA 502), Numerical Methods in Fluids (MA 595), Num Linear Algebra for Engineers (MA 532)

Honors courses

Calculus with Analytic Geometry III (MA 243 H), Differential Equations and Matrix Methods (MA 345H)

4th year courses

Linear Algebra (MA 432), Advanced Engineering Mathematics I (MA 441), Advanced Engineering Mathematics II (MA 442), Complex Analysis (MA 443), Numerical Methods in Fluids (MA 488), Special Topics (Capstone) (MA 499)

3rd year courses

Differential Equations and Matrix Methods (MA 345), Numerical Analysis I (MA 348/MA 438), Special Topics (MA 399)

2nd year courses

Calculus with Analytic Geometry I, II and III (MA 241, MA 242 and MA 243), Business Statistics (MA222)

1st year courses

College Mathematics for Aviation I (MA 111), College Mathematics for Aviation II (MA 112), Analytic Trigonometry (MA 142)

Study Abroad Program: Greece and Germany

A Stardust Odyssey June 20019- July 2019




Embry-Riddle Aeronautical University, Daytona-Beach, USA

Professor August 2018 - present

Associate Chair August 2017 - present

Associate Professor August 2013 - July 2018

Hochschule Munchen/ Munich University of Applied Sciences, Munich, Germany

UAS7 Research Professor Fellowship March 2015 - August 2015

Diefferentiation in Rn and Ordinary Diefferential Equations

Logic & Proof (new class developed for the Computer Science majors)

Tribhuvan University, Kathmandu, Nepal

Summer School July 2013

Advanced Partial Differential  Equations: Theory of Water Waves

Embry-Riddle Aeronautical University, Daytona-Beach, USA

Assistant Professor August 2007 - July 2013




1. MFWC 2019, 4th Mexican Workshop on Fractional Calculus, San Luis Potosi, Mexico, October 16 -19, 2019

2. ESA, European Space Agency, European Astronaut Center, Summer Showcase, Koln, Germany, July 2019

3. IPICyT, Instituto Potosino de Investigation Cientifica y Tecnologica, San Luis Potosi, Mexico, July 2017

4. LeCosPA, Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, December 2014

5. ICTP, International Centre for Theoretical Physics, Summer School on Cosmology, Trieste, Italy, August 2014

6. IMECC-UNICAMP, Workshop on Nonlinear Dispersive Equations, Institute of Mathematics, State University of Campinas, Brazil, October 2013

7. IPICyT, Instituto Potosino de Investigation Cienti ca y Tecnologica, San Luis Potosi, Mexico, August 2013

8. Secondary Calculus, Levi-Civita Institute, Diffiety School, July 2011

9. Classical and Quantum Integrable Models, EPSRC/ London Mathematical Society, University of Kent, UK, July 2010

10. Universit a degli Studi di Milano, Italy, Dipartimento di Filologia Moderna, Italian language and culture summer scholarship,

May - July 2006

11. NSF-UCF, 3D Optical Memory,  Ecole Normale Sup erieur, Paris, France, May - September 2001




1. External (funded) (total $127,000)

1. NSF-1927370, 39th Southeastern-Atlantic Regional Conference on Differential Equations, May - October 2019, $23,000, with K. Acharya (PI)

2.  MUAS, Hochschule Munchen/Munich University of Applied Sciences -- Visiting Research Fellowship, March-August 2015, $18,000
3.  GFS Corp, Efficiency of a Diffuser -- CoPI, Summer 2012-2013, $31,000, with A. Ludu (PI)
4.  NASA-FSGC, Florida Space Grant Consortium, Aerodynamic Stability of Satellites in Elliptic Low Earth Orbits -- PI, Fall 2009 -- Spring 2010, $20,000, with B. Udrea (CoPI)
5.  UCF,  Undergraduate to graduate fellowship,  Fall 2002 -- Fall 2004, $20,000
6.  NSF/REU International research fellowship -- College of Optics and Photonics, (CREOL) and Ecole Normale Superieur, Paris, France, May -- August 2001, $15,000


2. Internal (funded) (total $226,000)

1. ERAU, The Generalized Quantum Harmonic Oscillator - Summer Undergraduate Research

Fellowship - C. A. Thakrar, Summer 2021, $3,000

2.  SPARK GRANT, Project Echo, Office for Undergraduate Research - N. Schaff, Fall 2020, $700

3. ERAU-IGNITE, Soliton Ship - Honors College students, Summer 2014, $9,117

4. ERAU, Nonlinear Waves Lab (NLWL3) - to build a wave tank 320' x 40' x 40', President's

Office, Spring 2014, $136,661

5. ERAU Student Internal Research Award, An Investigation on the Nature of Micro Cavitation

Bubbles on the Movement of Undersea Vessels, Summer 2013 - 2014, $5,522

6. ERAU Faculty Development Fund,  Summer Conference and Summer School, Kathmandu,

Nepal, Summer 2013, $7,500, with H. Khanal (co-PI)

7. ERAU, Nonlinear Waves Lab (NLWL2) - to build a wave tank 160' x 40' x 40', President's

Office, Summer 2011-Summer 2012, $35,000

8. ERAU, Educational Technology to develop the Computational Fluid Dynamics Lab with 8 Linux computers,

and expanded later to 15 Linux computers in COAS 301.39, Spring 2011, $10,500

9. ERAU Faculty Internal Research Award, Chaotical and Erupting Solitons in the Ginzburg- Landau Equation,

July 2009 - June 2010, $7,500

10.  ERAU Faculty Internal Research Award, Spatiotemporal Structure of Dissipative Solitons

in the cubic-quintic Ginzburg-Landau equation, July 2008 - June 2009, $10,500


3. Workshops

1. MFWC'2019, 4th MexicanWorkshop on Fractional Calculus, San Luis Potosi, Mexico, October 16-19, 2019

2. ESA, European Space Agency, European Astronaut Center, Summer Showcase, Koln, Germany, July 2019

3. IPICyT, Instituto Potosino de Investigation Cientifica y Tecnologica, San Luis Potosi, Mexico, July 2017

4. LeCosPA, Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, December 2014

5. ICTP, International Centre for Theoretical Physics, Summer School on Cosmology, Trieste, Italy, August 2014

6. IMECC-UNICAMP, Workshop on Nonlinear Dispersive Equations, Institute of Mathematics, State University of Campinas, Brazil, October 2013

7. IPICyT, Instituto Potosino de Investigation Cientifica y Tecnologica, San Luis Potosi, Mexico, August 2013

8. Secondary Calculus, Levi-Civita Institute, Difiety School, July 2011

9. Classical and Quantum Integrable Models, EPSRC/ London Mathematical Society, University of Kent, UK, July 2010

10. Universit a degli Studi di Milano, Italy, Dipartimento di Filologia Moderna, Italian language and culture summer scholarship, May - July 2006

11. NSF-UCF, Three-dimensional optical memories obtained with ultrashort pulse laser (femtoseconds), Laboratoire Charles Fabry de l'Institut d'Optique, Paris, France, May - September 2001