Georgi D. Gospodinov
Contact Wentworth Institute of Technology Applied Mathematics Department 617-***-****
Information 550 Huntington Avenue, Boston, MA 02115 ******.*.**********@*****.***
http://www.linkedin.com/in/ggospodinov/
Profile
Data science and analysis, data architecture, topological data analysis, applications of topological
Research
and geometric tools to big data and dynamical systems, signal processing, complex network science,
low-dimensional topology.
Brandeis University, Waltham, MA
Education
Ph.D. in Mathematics, August 2007
Whittier College, Whittier, CA
B.A. in Physics and Mathematics, Magna Cum Laude, May 2001
Assistant Professor of Applied Mathematics, Wentworth Institute of Technology, 2012 – present
Employment
Post-doctoral Fellow, Bard College Math Department and BPI, 2011 – 2012
Research Consultant, Sterling Point Research, LLC., 2010 – 2011
Visiting Fellow of Mathematics, Olin College of Engineering, 2007 – 2010
Teaching Assistant, Brandeis University Mathematics Department, 2001 – 2007
Research Assistant, Brandeis University Astrophysics Department, 2002 – 2007
• Features for anomaly detection on graph database models, 2014 – present
Research
• Complex network science and applications to dynamical systems, fractal data analysis, and
Experience
medicine, 2012 – present
• Analysis of chaotic systems, fractal topology, data topology, 2011 – present
• Brain dynamics modeling, nonlinear analysis of brain function and architecture, 2011 – present
• Data representation through diffusion, topology, and other methods, Sterling Point Research,
LLC., 2010 – 2012
• Extending Tomographical Methods for planetary 3-dimensional Imaging to Quasars,
Astrophysics Department, Brandeis University, 2002 – 2007
• NMR on Porous Media (adapting CONTIN to a LabView experimental interface),
Physics Department Research Lab, Whittier College 1998–2000
• Investigation of Classical Chaotic Systems and Nonlinear Dynamics
Physics Department Research Lab, Whittier College 1999–2001
Python (expert), R (expert), SPSS (expert), Matlab (intermediate), Scala (intermediate), Pig/Hive
Computer Skills
(intermediate), Linux/Unix (intermediate), GNU Octave (intermediate), C/C++(intermediate),
Java (intermediate), SQL/NoSQL (intermediate), AMPL (intermediate). Expert knowledge of
object-oriented packages such as Mathematica, Maple, MathLab, LabView. Expert use of ed-
ucational platforms such as MyMathLab, WebAssign, Wiley+, Blackboard, WebCT. Beginner
experience with Hadoop MapReduce, Hive, Spark, and graph databases (Neo4j, Titan, GraphX,
GraphLab, Pregel, PBGL) and cloud computing (AWS, Azure, SmartCloud,Cloudera)
•
Recent Projects Applications of complex network methods in graph databases for medical claim fraud detection
• Features from complex networks for scheduling and conflict graph resolution
• Data analysis for postoperative infection occurrence
• Complex networks for multi-dimensional time series
• Quantum complex networks and percolation via multipartite entanglement
• Multidimensional radiation physics techniques for efficient optimization of cancer treatment
Fluent Bulgarian (native), Fluent English, Fluent German, Excellent Russian.
Languages
“A Homological Approach to Relative Knot Invariants”, arXiv: math.GT/0909.4316, submitted.
Publications
“Relative Knot Invariants: Properties and Applications”, arXiv: math.GT/0909.4326
“On the Relative Slice Thurston-Bennequin Inequality”, arXiv: math.GT/1109.1882
“Magnitude Visibility Networks for Higher-Dimensional Time Series”, in preparation.
“Partial Horizontal Weighted Visibility Networks”, in preparation.
“ Continuous Visibility Networks”, in preparation.
“Periodicity Investigations with Visibility Networks”, in preparation.
Wentworth Institute of Technology, Boston, MA
Teaching
Experience Assistant Professor of Mathematics Fall 2012 – present
• Hybrid Multivariable Calculus Course (2 semesters)
• Operations Research Project-Based Team-Taught Course (1semester)
• Graph Theory and Industry Applications Project-Based Course (1semester)
• Algebra and Trigonometry Mathematics with Interactive Computer Learning (6 semesters)
• Chaos Theory and Nonlinear Dynamics (1 semester)
• Multivariable Calculus and Applications (3 semesters)
• Ordinary Differential Equations (5 semesters)
• Chaos Theory Seminar (Chaos Theory Research Society)
Bard College, Annandale-on-Hudson, NY
Post-doctoral Fellow of Mathematics September 2011 – August 2012
• Graph Theory (Bard Prison Initiative)
• Real Analysis (Bard Prison Initiative)
• Probability and Statistics (Bard Prison Initiative)
• Introduction to Financial Mathematics (Bard Prison Initiative)
• Problem Solving Seminar (Bard College Math Department)
Olin College of Engineering, Needham, MA
Visiting Fellow of Mathematics September 2007 – May 2010
• Calculus: Single Variable (three semesters), Vector Calculus (three semesters)
• Differential Equations: ODEs I(fourteen semesters), ODEs II (two semesters)
• Discrete Mathematics (one semesters)
• Linear Algebra (five semesters)
• Mathematical Analysis (one semester)
• Topology and Knot Theory Research Group (one semester)
• Graph Theory Research Group (one semester, Spring 2010)
Brandeis University, Waltham, MA
Teaching Assistant (lecturer) September 2001 – May 2007
Undergraduate courses
• Transitional Year Program: Pre-Calculus Basic Mathematics
• Transitional Year Program: Pre-Calculus Fundamentals
• Pre-Calculus (3 semesters)
• Calculus (3 semesters, 1 summer)
• ESL Oral Skills For Graduate Students: English 200A, and Advanced Section 200B
Whittier College, Whittier, CA
Teaching Assistant September 1997 – May 2001
Undergraduate courses
• Physics and English: Chaos Theory and English Literature
• Fundamentals of Physics
• Experimental Physics
ESL Outstanding Teacher Award, Brandeis University 2005
Honors and
Brandeis Graduate Student Teaching Award in Mathematics, Brandeis University 2004
Awards
Pyle Achievement Award in Mathematics, Whittier College 2001
National Society of Physics Leadership Scholarship 2001
Outstanding Student in Physics Award, Whittier College 2001
Nola Lee Cole Achievement Award in Physics, Whittier College 2001
• Polytechnic Summit Conference 2014, Boston, MA
Conferences:
• Polytechnic Summit Conference 2013, Boston, MA
• Introductory Workshop: Symplectic and Contact Geometry and Topology,
MSRI, Berkeley CA, August 17-21, 2009.
• Summer Graduate Workshop: Symplectic and Contact Geometry and Topology,
MSRI, Berkeley CA, August 03-14, 2009.
• Georgia International Topology Conference,
University of Georgia, Athens GA, May 18-29, 2009.
• Low Dimensional Topology, MSRI, August 11-15, 2008.
• Fifty Years Since Fox and Milnor,
Brandeis University and the National Science Foundation, June 2-5, 2008
• Great Lakes Geometry Conference, Waterloo, Ontario, April 30-May 1, 2005.
• Summer School: Floer Homology, Gauge Theory, and Low Dimensional Topology
Alfr`d R`nyi Institute of Mathematics, Budapest, Hungary, June 5-26, 2004.
e e
Complex Network Connectum for Postoperative Infection Factors, Polytechnic Summit 2014
Conference and
Multipartite Entanglement in Quantum Complex Networks, Polytechnic Summit 2014
Seminar Talks
Complex Networks, Cliques, and Conflict Graph Resolution, Polytechnic Summit 2014
Investigations of Complex Visibility Networks Associated to a Chaotic Time Series, Polytechnic
Summit 2014
Integration of research and interdisciplinary teaching in applied mathematics and radiation physics
to identify efficient optimizations for cancer treatment plans (poster), Polytechnic Summit 2014
Complex Networks and Conflict Graph Resolution,Wentworth Applied Math Club, 2014
New Ways to Distinguish Between Chaotic and Stochastic Systems: The Visibility Graphs, Control
Research Group, CCNR and Channing Division of Network Medicine, 2014
Visibility Complex Networks, Center for Complex Network Research, Northeastern, 2014
Multipartite Entanglement Distribution in Quantum Complex Networks, CCNR, 2013
Introduction to Knot Invariants, Wentworth Applied Math Club, 2013
Investigations of Omega-complexity of Chaotic Systems, Polytechnic Summit 2013
Data Assimilation in the Study of the Dynamics of Cancer, Polytechnic Summit 2013
Building Undergraduate Research, Inter-Departmental Collaboration, Polytechnic Summit 2013
Topological Tools for Analysis of Dynamical Systems, Polytechnic Summit 2013
Mathematics Education in Extreme Social and Cultural Environments, Wentworth 2013
Visibility Graphs and Applications Lecture Series, Wentworth 2012
Chaos Theory and Applications Lecture Series, Wentworth 2012
Overview of Knot Invariants, Bard College 2011
Relative Invariants of Legendrian Knots, Dartmouth University 2009
Reebless Foliations, Thurston Norm, and Minimal Genus, Brandeis University 2008
The unit ball for the Thurston’s Norm, Brandeis University 2008
Relative Invariants of Legendrian Knots, George Washington University 2008
On the Additivity of the Thurston-Bennequin Invariant, Brandeis University 2006
3-Dimensional Contact Geometry (series), Brandeis Graduate Student Seminar 2005
The Structure of Geodesic Laminations (series), Brandeis Topology Seminar 2005
Symplectic Linear Algebra, Brandeis Topology Seminar 2004
Quantum Mechanics: New Applications and Theories (Senior Thesis) 2001
Homotopy Theory (Senior Thesis) 2001
Poster Presentation: Published Problems, MAA Southern California Conference 2000
Chaotic Systems and Nonlinear Dynamics, Southern California Conference UR 1999
NMR on Porous Media, Southern California Conference UR 1998
Paloma Valverde, Wentworth Institute of Technology
References
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James O’Brien, Wentworth Institute of Technology
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Rachel Maitra, Wentworth Institute of Technology
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Marianne Moran, Wentworth Institute of Technology
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Daniel Ruberman, Brandeis University (advisor)
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Susan Parker, Brandeis University
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Birt Tilley, Worcester Polytechnical Institute, Worcester, MA
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John Etnyre, Georgia Institute of Technology
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Andras Stipsicz, Alfr`d R`nyi Institute of Mathematics, Budapest, Hungary
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