My overall research goal is to provide a bridge between modern geometry and broad engineering fields: identify important geometric problems as well as supply efficient algorithmic solutions.
o Computational Geometry and Topology: computational algorithms for geometric and topological models and tools, particular interests in Computational Conformal Geometry and Computational Hyperbolic Geometry
o Apply geometric and topological tools to solve problems in Computer Vision, Computer Graphics, Mobile and Wireless Networks, Data Analysis, and Medical Imaging.
o I also work on Machine Learning. Machine learning provides great tools for geometric problems. At the same time, geometry provides a different angle to understand machine learning algorithms.
Part of the research results has been summarized in book: "Conformal Geometry - Computational Algorithms and Engineering Applications", Publisher: Springer, publication date: June 2018. DOI: 10.1007/978-3-319-75332-4..
Sponsored Research Projects
o "Distributed In-network Data Storage and Retrieval in 3D Wireless Sensor Networks", PI: Miao Jin, Co-PI: Hongyi Wu, Funding Agency: US National Science Foundation (CNS-1320931), Amount of Grant: $372,513, Time Period: 10/01/2013 - 09/30/2019.
o "CAREER: Theorem, Algorithm, and Applications of Computational Quasiconformal Geometry", PI: Miao Jin, Funding Agency: US National Science Foundation (CCF-1054996), Amount of Grant: $419,780, Time Period: 06/01/2011 - 09/30/2017.
o "Scalable Routing in 3D Wireless Sensor Networks", PI: Hongyi Wu, Co-PI: Miao Jin, Funding Agency: US National Science Foundation (CNS-1018306), Amount of Grant: $425,000, Time Period: 08/01/2010 - 08/31/2016.
o "Surface Geometric Structures and Their Applications", PI: Miao Jin, Funding Agency: Louisiana Board of Regents (RCS), Amount of Grant: $120,000, Time Period: 08/01/2009 - 08/31/2013.
Current Ph.D. Students:
o Brad Burkman (Ph.D. student, since 2019)
o Zachary Kirby (Ph.D. student, since 2019)
o Xuan Li (Ph.D. student, since 2015)
o Romas James (Ph.D. student, since 2013)
Graduated Ph.D. Students:
o Buri Ban (Graduated December 2018, Dissertation title: Network Resilience Against Dynamic Changes, first job at WePay)
o Yang Yang (Graduated December 2014, Dissertation title: Geometry in Wireless Sensor Networks: In-network Information Processing and Localization)
o Su Xia (Graduated June 2012, co-advised with Dr. Hongyi Wu, Dissertation title: Scalable and Deterministic Routing with Guaranteed Delivery in 3D Wireless Sensor Networks, first job at Cisco)
Graduated M.S. Students:
o Zhiqian You (Graduated May 2019, first job at Amazon)
o Ning Ding (Graduated December 2010, first job at Amazon)
o Yendru Revanth (Graduated December 2010, first job at WellCare Health Plans)