**Shortest CV - LatexPDF**

**Longest CV - PDF**

**Longest CV - Text **

__Krishna iResearch Open Source Products - open source research initiative of self - (2003 - Present) - Profile (SourceForge), Profile (GitHub), Profile (GitLab)__

**NeuronRain - a new Machine Learning, Cloud and Messaging augmented OS:**

**NeuronRain Research - SourceForge Repositories - academic research and astronomy oriented:**

**VIRGO -**

**VIRtual Generic Os -**Linux kernel fork-off (kernel modules,system calls etc.,) with cloud and machine learning features (32 bit based on 4.1.5 mainline)**VIRGO64 - 64 bit version of previous VIRGO Linux kernel based on 4.13.3 mainline**

**USBmd****- USB driver kernel module for network analytics, debugging etc., based on 32-bit 4.1.5 linux kernel**

**USBmd64****- USB driver kernel module for network analytics, debugging etc., based on 64-bit 4.13.3 linux kernel**

**ASFER - AStroinFER - BigData Analytics and Machine Learning Software**for Large Data Sets (at present implemented for Astronomical Datasets)**KINGCOBRA - Linux kernelspace messaging with miscellaneous applications based on 32-bit 4.1.5 linux kernel**

**KINGCOBRA64 - Linux kernelspace messaging with miscellaneous applications based on 64-bit 4.13.3 linux kernel**

**NeuronRain Enterprise - GitHub Repositories - for enterprise cloud deployments (replicated in GitLab)**

**VIRGO -**

**VIRtual Generic Os -**

**Linux kernel fork-off (kernel modules,system calls etc.,) with cloud and machine learning features**

**(32 bit based on 4.1.5 mainline)**

**VIRGO64 - 64 bit version of previous VIRGO Linux kernel based on 4.13.3 mainline**

**USBmd** **- ****USB driver kernel module for network analytics, debugging etc., based on 32-bit 4.1.5 linux kernel**

**USBmd64** **- ****USB driver kernel module for network analytics, debugging etc., based on 64-bit 4.13.3 linux kernel**

**ASFER - AStroinFER - BigData Analytics and Machine Learning Software** for Large Data Sets

**KINGCOBRA - ****Linux kernelspace messaging with miscellaneous applications based on 32-bit 4.1.5 linux kernel**

**KINGCOBRA64 ****Linux kernelspace messaging with miscellaneous applications based on 64-bit 4.13.3 linux kernel**

__Krishna_iResearch_DoxygenDocs__- Documentation for NeuronRain open source product codebases (**NeuronRain - Architecture Diagrams 1 ,**NeuronRain - Architecture Diagrams 2 )

**Krishna iResearch (old link updated in 2006)**

__Bifurcation of code bases into 32-bit and 64-bit previously has been chosen than branching/ifdefs because of drastic difference in linux kernel versions/functionalities/dependencies between base kernels for 32 and 64 bits. The opensource codebases in SourceForge and GitHub above are non funded,non profit academic research efforts. ____Premium technical support is available for above opensource codebases. GitHub/GitLab repositories implement NeuronRain Enterprise and SourceForge repositories implement NeuronRain Research versions. ____Dual licensed closedsource premium commercial versions with enhanced features on above GPL products in development since 2010.__

*Free online course materials*

__Research statements__

__R__esearch statement 3 - with some proof sketches (2014)

**Research Statement 4 (6 June 2018) - ppt**

*Patents*

**Team Patents - Sun Microsystems**** - 2000-2005**

**Disclosure - Patent Pending (Copyright: Sun Microsystems - 2002 - Reference Number: P8490)****Publications (2008-2011) - (CMI-IMSc-IIT, Chennai) guided and reviewed (Advisors/Co-Authors in Google Scholar)**

**Few Algorithms for Ascertaining Merit Of a Document**

**(Master's thesis) arXiv Link to Few Algorithms for Ascertaining Merit of a Document**

**Presentation slides - Few Algorithms for Ascertaining Merit Of a Document**

**NIST TAC 2010 link to Update Summarization with Interview Algorithm**

**Decidability of Existence and Construction of a Complement of a given function **

**arXiv Link to Decidability of Existence and Construction of a Complement of a given function**

**Circuits for Complement of a function - old version**

**Publication Drafts (PDF and Text) (NOTE: *** These are not final versions and are *work in progress) (2012 - present) - unguided and unreviewed - (Theory and Engineering Hodgepodge)

**Complexity Theoretic Analysis of Non-majority and Majority Social Choice, Circuit Lowerbounds, Pseudorandomness, Goodness of Voting and Margulis-Russo Threshold/Condorcet Jury Theorem, Complement Function, Combinatorics (Ramsey coloring of sequences), Diophantine Analysis, Riemann Zeta Function, Hypergeometric Functions, Logical time and causality(EventNet), Formal Languages (Lambda Calculus), Graph theoretic/Computational linguistic/Interview Intrinsic Merit/Fitness/Fame and Experiential Learning in the context of WWW (people, text, audio and visuals analysis) and Social/Economic networks, Algorithmic Graph Theoretic Learning Models, Computational Learning Theory, Software Analytics/Program Analysis, People Analytics/HR Analytics, Fame/Merit Equilibrium (Welfare Functions, Flow Market Equilibrium and **

** Convex-Concave Programming in Algorithmic Economics applied to Fame-Merit)**

**, Mechanism Design, Neural Networks and Deep Learning, Quantum mechanics and Intrinsic Fitness/Merit(Bose-Einstein condensation in networks), Locality Sensitive Hashing and Separate Chaining Hash tables, Integer Partitions(additive and multiplicative), Set Partitions, Space filling/Tiling/Packing, Number Theory, Linear Programming, Cellular Automata, Satisfiability (Least Square SAT Solvers and QBFSAT), Classical NC-PRAM (k-mergesort, segment tree, wavelet tree, ray shooting queries, planar point location) and Quantum Computational Geometric Integer Factoring, Algebraic Geometry and Connections amongst them etc., (most recent draft updates to all publications previously and earlier drafts below - in text format - nonlinear theoretical writeups interspersed between NeuronRain AsFer code commits in SourceForge, GitLab and GitHub):**

**NeuronRain Research AstroInfer Design Document [SourceForge] **

**Earlier Drafts:**

**Integer Partitions and Hash functions (in Tex) - 2012**

**Interview Algorithm is in IP=PSPACE (in Tex) - 2012**

**F****ew Non-trivial Questions and Shell Turing Machines (in Tex) - 2012**

__Complexity aspects of Non-majority and ____Majority Social Choice, Hash Functions, Integer Partitions, Graph theoretic Document summarization etc.,:__

**Integer Partitions and Hash Functions (new version - 5 April 2014 and 17 April 2014)**

**Lower Bounds for Majority Voting and Pseudorandom choice **

**Circuits For Computing Error Probability of Majority Voting (new version - 10 April 2014)**

**Circuits For Computing Error Probability of Majority Voting (old version - March 2013)**

**In-depth Analysis of a Variant of Majority Voting with relation to ZFC - updated draft (new version - 8 February 2014)**

**In-depth Analysis of a Variant of Majority Voting with relation to ZFC (old version - 8 March 2013)**

__Parallel PRG and Space Filling:__

**A Chaos theoretic Parallel Pseudorandom generator in RNC For Majority Voting and Pseudorandom Choice **

**Analysis of a Randomized Space Filling Algorithm and its Linear Program Formulation (previous version)**

Discrete Hyperbolic Factorization - previous versions:Discrete Hyperbolic Factorization - previous versions:

**Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization (Version 1)**

**Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (Version 2 - updated 25 June 2013)**

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (Version 3 - updated 30 June 2013 with rough notes)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (version 4 - updated 1 July 2013 and Version 5 - updated 20 July 2013 including all handwritten notes)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - using Rectangular Binary (or) Interpolation Search (version 12 - updated 25 August 2013)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (Version 3 - updated 30 June 2013 with rough notes)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (version 4 - updated 1 July 2013 and Version 5 - updated 20 July 2013 including all handwritten notes)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - using Rectangular Binary (or) Interpolation Search (version 12 - updated 25 August 2013)

**Informal Notes on Derivation of Upperbound for Discrete Hyperbolic Factorization with Stirling Formula - using Rectangular Binary or Interpolation Search (10 September 2013)**

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - using Rectangular Binary (or) Interpolation Search applying Stirling Formula (Version 14 - 20 September 2013)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - using Rectangular Binary (or) Interpolation Search applying Stirling Formula (Version 14 - 20 September 2013)

__Discrete Hyperbolic Factorization - Parallel RAM algorithm:__**An NC algorithm and some Sequential Search Algorithms for Discrete Hyperbolic Polylogarithmic Sieve For Factorization using Binary or Interpolation Search with Stirling Formula and Logarithmic Sorted Tile Merge in PRAM model (20 November 2013) and AsFer PRAM implementation design notes with tile id(s) (21 November 2013)**

__Miscellaneous Informal Notes related to above drafts (Handwritten) (Note: these are not in any structured format and might have typos and errors)__**Implication Graphs, Error probability of Majority Voting and P Versus NP Question **

**Minimum Convex Hulls of Implication Graphs and Hidden Markov Model on class nodes of Concept Hypergraph **

**Minimum Convex Hulls of Implication Random Growth Networks and Perfect Voter Decidability**

Philosophical Analysis of Democracy Circuit and Pseudorandom Choice

Philosophical Analysis of Democracy Circuit and Pseudorandom Choice

**Riemann Zeta Function, Ramanujan Graphs and Ihara Zeta Function - (30 August 2014)**

**Riemann Zeta Function, Ramanujan Graphs and Ihara Zeta Function - (25 October 2014)**

**Publication Drafts (TeX)**** (NOTE: These are not final versions and are work in progress)**

**Integer Partitions and Hash Functions (new version - 5 April 2014 and 17 April 2014)**

**Circuits for Computing Error Probability of Majority Voting (new version - 10 April 2014)**

**Circuits For Computing Error Probability of Majority Voting (old version - March 2013)**

**In-depth Analysis of a Variant of Majority Voting with relation to ZFC - updated draft (new version - 8 February 2014)**

**In-depth Analysis of a Variant of Majority Voting with relation to ZFC (old version - 8 March 2013)**

__Parallel PRG and Space Filling:__

**A Chaos theoretic Parallel Pseudorandom generator in RNC For Majority Voting and Pseudorandom Choice**

**Analysis of a Randomized Space Filling Algorithm and its Linear Program Formulation**

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization (Version 1)

__Discrete Hyperbolic Factorization - previous versions:__Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization (Version 1)

**Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (Version 2 - updated 25 June 2013)**

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (Version 3 - updated 30 June 2013)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (Version 4 - updated 1 July 2013 and Version 5 - updated 20 July 2013 including all handwritten notes)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - using Rectangular Binary (or) Interpolation Search (Latest - version 12 - updated 25 August 2013)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (Version 3 - updated 30 June 2013)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - with Interpolation Search (Version 4 - updated 1 July 2013 and Version 5 - updated 20 July 2013 including all handwritten notes)

Discrete Hyperbolic Polylogarithmic Sieve For Integer Factorization - using Rectangular Binary (or) Interpolation Search (Latest - version 12 - updated 25 August 2013)

__Discrete Hyperbolic Factorization - Parallel RAM algorithm__

__:__**An NC algorithm and some Sequential Search Algorithms for Discrete Hyperbolic Polylogarithmic Sieve For Factorization using Binary or Interpolation Search with Stirling Formula and Logarithmic Sorted Tile Merge in PRAM model (20 November 2013)**

**Blogs**

**HAMSA (Computer Science - Machine Learning etc., - complements GRAFIT course material****)**

**VARAHAMIHIRA (Astronomy, Sanskrit etc.,)**

**Personal Memorabilia and selected photos**

**CMI Research Scholar Page (2010-2011)**