HOME PAGE OF HIREN MAHARAJ

Welcome to my home page. I am a graduate student in the Mathematics Department of Penn State University.

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TEACHING

This fall I teach math 251: Ordinary and partial differential equations..

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RESEARCH

My areas of research are in number theory, coding theory and graph theory. My favourite topic in number theory is algebraic function fields, in particular the explicit class field theory of functions fields through rank 1 Drinfeld modules, also algebraic geometric codes. In graph theory, my favourite topic is homogeneous embedding problems of graphs and digraphs. For more detailed academic information see my vitae (html, postscript) and research statement.

PAPERS:

1. Coverings of curves with asymptotically many rational places. (co-author: Wen-Ching W Li), preprint.
2. Edge frames of graphs: A graph embedding problem. Discrete Math. 177 (1997), no. 1-3, 167-184.
3. Some general aspects of the framing number of a digraph. (co-author: M.A. Henning) Discrete Appl. Math. 82 (1998), no. 1-3, 115-133.
4. Homogeneous embeddings of cycles in graphs. (co-authors: W. Goddard and M.A. Henning) Graphs Comb. 15 (1999) 2, 159-173.
5. Frames of Digraphs: A graph embedding problem. (co-author: Micheal Henning) Utilitas Mathematica 47 (1995), 3-19.
6. Frames of cycles and directed cycles. (co-author: Micheal Henning) Indian J. pure appl. Math. 28(5) : 647-660, May 1997.
7. Edge homogeneous embeddings of cycles in graphs. (co-author: Micheal Henning) Australasian J. of combinatorics 15 (1997), 257-270.