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Research

General Research Interests
  • Multi-agent systems
  • Artificial intelligence
  • Algorithmics
  • Social choice theory
  • Game theory
  • Fair Division  
  • Market design                                        

Here's a brief summary of my research interests.

[DBLP | google scholar]

Six Representative Papers

  • H. Aziz and S. Mackenzie. A Discrete and Bounded Envy-free Cake Cutting Protocol for Any Number of Agents. FOCS 2016 [ short version | technical report  ]
  • H. Aziz, F. Brandt and P. Harrenstein. Pareto Optimality in Coalition Formation. Games and Economic Behavior 2013. [ Pdf 
  • H. Aziz, O. Lev, N. Mattei, J. S. Rosenchein, and T. Walsh. Strategyproof peer selection: Mechanisms, analyses, and experiments. AAAI 2016 Pdf ]
  • H. Aziz and P. Stursberg. A Generalization of Probabilistic Serial to Randomized Social Choice. AAAI 2014. Pdf  |  Poster ]
  • H. Aziz, S. Gaspers, S. Mackenzie, T. Walsh. Fair assignment of indivisible objects under ordinal preferences. AIJ 2015  Pdf ]
  • H. Aziz, M. Brill, V. Conitzer, E. Elkind, R. Freeman, T. Walsh. Justified Representation in Approval-Based Committee Voting.  AAAI 2015. [ Pdf | Slides ]


Working Papers

  • H. Aziz and S. Mackenzie. A Discrete, Bounded, and Fast Envy-free Cake Cutting Protocol for Any Number of Agents.
  • H. Aziz, M. Brill, V. Conitzer, E. Elkind, R. Freeman, T. Walsh. Justified Representation in Approval-Based Committee Voting.  Working Paper [ Pdf ]
  • H. Aziz, P. Biro, T. Fleiner, S. Gaspers, R. de Haan, N. Mattei and B. Rastegari. Stable Matching with Uncertain Pairwise Preferences. Working Paper 2016.
  • H. Aziz, O. Lev, N. Mattei, J. S. Rosenchein, and T. Walsh. Strategyproof Peer Selection. 2016. Working Paper. [ Pdf ]
  • H. Aziz and B. Klaus. A Taxonomy of Stability Concepts for Random Matching under Priorities. Working Paper. 2016.
  • H. Aziz, S. Gaspers, and K. Najeebullah. Minimizing Average Inverse Geodesic Length by Vertex Deletion. Working Paper 2016. 
  • H. Aziz, P. Luo, C. Rizkallah. Incompatibility of Efficiency and Strategyproofness in the Random Assignment Setting with Indifferences. Working Paper. [ Pdf ] Accepted for presentation at the Australasia Meeting of the Econometric Society 2016 as well as AGT@IJCAI2016.
  • H. Aziz, F. Brandl, F. Brandt and M. Brill. On the Tradeoff between Efficiency and Strategyproofness. 2016. Accepted for presentation at GAMES 2016.
  • H. Aziz, S. Bouveret, J. Lang, and S. Mackenzie. Complexity of manipulating sequential allocation. 2016. Working Paper. [ Pdf ]
  • H. Aziz, G. Rauchecker, G. Schryen, and Toby Walsh. Algorithms for Max-Min Share Fair Allocation of Indivisible Chores. 2016. Working Paper.
  • H. Aziz, R. de Haan, and B. Rastegari. Pareto Optimal Allocation under Uncertain Preferences. Working Paper 2016. [ Pdf ]
  • H. Aziz. Participation Incentives in Randomized Social Choice. Working Paper. [ Pdf ] --- was accepted as a full paper at AAMAS 2016 but had to retract because I could not travel that week.
  • H. Aziz, J. L. Hougaard, J. D. Moreno-Ternero, L. P. Østerdal. Computational aspects of assigning agents to a line. Working Paper. 2015
  • H. Aziz. Generalizing Top Trading Cycles for Housing Markets with Fractional Endowments. Working Paper. 2015. [ Pdf ]
  • H. Aziz. Mechanisms for House Allocation with Existing Tenants under Dichotomous Preferences. Working Paper. Jan 2016. [ Pdf ]
  • H. Aziz and T. Walsh. The overcut procedure for chores. Working Paper 2015.
  • H. Aziz. Characterizing SW Efficiency in the Social Choice Domain. Short Note. 2015. [ Pdf ]
  • H. Aziz. Random assignment with multi-unit demands. Working Paper. 2015. [ arxiv ]
  • H. Aziz. Consistency of Randomized Assignment Rules. 2013. Working Paper.

Journal Publications and Book Chapters

  • H. Aziz, C. Cahan, C. Gretton, P. Kilby, N. Mattei, T. Walsh. A Study of Proxies for Shapley Allocations of Transport Costs. JAIR, 2016.
  • H. Aziz, S. Gaspers, S. Mackenzie, T. Walsh. Two Desirable Fairness Concepts for Allocation of Indivisible Objects. ACM SIGecom Exchanges, 2016 [ Pdf ]
  • H. Aziz and R. Savani. Hedonic Games. 
    In F. Brandt, V. Conitzer, U. Endriss, J. Lang, and A. Procaccia, editors, Handbook of Computational Social Choice. Cambridge University Press, 2015. In preparation. [ Draft ]
  • H. Aziz. Competitive Equilibrium with Equal Incomes for Allocation of Indivisible Objects. Operations Research Letters. 2015 (accepted) [ arxiv ]
  • Haris Aziz, M. Brill, F. Fischer, P. Harrenstein, J. Lang, H. G. Seedig. Possible and Necessary Winners of Partial Tournaments. JAIR. 2015.
  • H. Aziz. A Generalization of the AL method for Fair Allocation of Indivisible Objects. Economic Theory Bulletin  2015. Accepted. [ arxiv ] 
  • H. Aziz, F. Brandl, and F. Brandt. Universal Pareto Dominance and Welfare for Plausible Utility Functions. Journal of Mathematical Economics 2015. [ Pdf ]
  • H. Aziz, S. Gaspers, S. Mackenzie, T. Walsh. Fair assignment of indivisible objects under ordinal preferences. AIJ 2015  Pdf ]
  • H. Aziz. A note on the undercut procedure. 
    Social Choice and Welfare. 2015 [ Pdf ]
  • H. Aziz. Condorcet’s Paradox and the Median Voter Theorem for Randomized Social Choice.  Economics Bulletin. 2015 [ Pdf ]
  • H. Aziz, F. Brandt, M. Brill, J. Mestre. Computational Aspects of Random Serial Dictatorship. SIGecom Exchanges. 2014 [ Pdf ]
  • H. Aziz and J. Mestre. Parametrized Algorithms for Random Serial Dictatorship. Mathematical Social Sciences. 2014.         [ Pdf ]
  • H. Aziz. A Characterization of Stochastic Dominance Efficiency. Economic Theory Bulletin. [ Pdf ]
  • H. Aziz, F. Brandt and P. Harrenstein. Pareto Optimality in Coalition Formation. Games and Economic Behavior 2013. [ Pdf 
  • H. Aziz, F. Brandt, and M. Brill. The Computational Complexity of Random Serial Dictatorship. Economics Letters  2013[ Pdf ; also accepted at WINE 2013
  • H. Aziz. Computation of the Random Arrival Rule for the Bankruptcy Problem. Operations Research Letters 2013. 
  • H. Aziz, Markus Brill and Paul Harrenstein. Testing Substitutability of Weak Preferences. Mathematical Social Sciences. 2013. [ Pdf ]
  • H. Aziz, F. Brandt and H. G. Seedig. Computing Desirable Partitions in Additively Separable Hedonic Games. Artificial Intelligence (AIJ), 2013 Pdf ]
  • Franz Diebold, Haris Aziz, Martin Bichler, Florian Matthes, Alexander Schneider Stable Matching Mechanisms - A Field Experiment on Course Allocation Problems. 2013. BISE (Business & Information Systems Engineering)
  • D. Leech and H. Aziz. The double majority voting rule of the EU reform treaty as a democratic, ideal for an enlarging union: an appraisal using voting power analysis. In W. Slomczynski and K. Zyczkowski eds., Distribution of Power and voting procedures in the European Union. Ashgate 2009, ISBN:9780754694960. [Link]
  • H. Aziz, Algorithmic and computational complexity aspects of simple coalitional games. PhD thesis, 2010. [Abstract]

Conference Publications

  • H. Aziz and S. Mackenzie. A Discrete and Bounded Envy-free Cake Cutting Protocol for Any Number of Agents. FOCS 2016 [ short version | technical report  ]
  • H. Aziz, P. Biro, S. Gaspers, R. de Haan, N. Mattei and B. Rastegari. Stable Matching with Uncertain Linear Preferences. SAGT 2016. [ Pdf ] 
  • H. Aziz, J. Lang and J. Monnot. Computing Pareto Optimal Committees. COMSOC 2016  
  • H. Aziz, P. Biro, J. Lang. J. Lesca, and J. Monnot. Optimal Reallocation under Additive and Ordinal Preferences. COMSOC 2016 
  • H. Aziz and S. Mackenzie. A discrete and bounded envy-free cake cutting protocol for four agents. STOC 2016.   Pdf ]
  • H. Aziz, J. Lang and J. Monnot. Computing Pareto Optimal Committees. IJCAI 2016  Pdf ]
  • H. Aziz, I. Schlotter and T. Walsh. Control of Fair Division. IJCAI 2016  [ Pdf ]
  • A. Abeliuk, H. Aziz, G. Berbeglia, S. Gaspers, P. Kalina, N. Mattei, D. Peters, P. Stursberg, P Van Hentenryck and T. Walsh. Interdependent Scheduling Games. IJCAI 2016  [ Pdf ]
  • H. Aziz. Computational Social Choice: Some Current and New Directions. IJCAI 2016  Pdf ]
  • Egalitarianism of Random Assignment Mechanisms. H. Aziz, J. Chen, A. Filos-Ratsikas, S. Mackenzie and N. Mattei. AAMAS 2016 (Extended abstract) [ Pdf ]
  • H. Aziz, P. Biro, J. Lang. J. Lesca, and J. Monnot. Optimal Reallocation under Additive and Ordinal Preferences. AAMAS 2016  Pdf ]
  • H. Aziz, T. Kalinowski, T. Walsh, and L. Xia. Welfare of Sequential Allocation Mechanisms for Indivisible Goods. ECAI 2016.
  • H. Aziz, O. Lev, N. Mattei, J. S. Rosenchein, and T. Walsh. Strategyproof peer selection: Mechanisms, analyses, and experiments. AAAI 2016 Pdf ]
  • H. Aziz, P. Harrenstein, J. Lang, M. Wooldridge. Boolean Hedonic Games. KR 2016. [ Pdf ]
  • H. Aziz, O. Lev. N. Mattei, J. S. Rosenchein, and T. Walsh. Strategyproof Peer Selection: Mechanisms, Analyses, and Experiments. AAAI 2016 [ Pdf ]
  • H. Aziz, T. Walsh, and L. Xia. Possible and Necessary Allocations via Sequential Mechanisms. IJCAI  2015. [ Pdf ]
  • H. Aziz and S. Gaspers and J. Gudmundsson, J. Mestre, and H. Taubig. Welfare maximization in Fractional Hedonic Games. IJCAI 2015. [ Pdf ] 
  • H. Aziz, S. Brânzei, A. Filos-Ratsikas, S. K S. Frederiksen.The Adjusted Winner Procedure: Characterizations and Equilibria. IJCAI 2015 [ Pdf ]
  • M. Aleksandrov, H. Aziz, S. Gaspers, T. Walsh. Online Fair Division: analysing a Food Bank problem. IJCAI 2015 Pdf ]
  • H. Aziz, S. Gaspers, S. Mackenzie, N. Narodytska, N. Mattei, T. Walsh. Equilibria under the Probabilistic Serial Rule.  IJCAI 2015.[ Pdf ]
  • H. Aziz, S. Mackenzie, L. Xia, C. Ye. Structure and complexity of ex post efficient random assignments AAMAS 2015 [ Extended Abstract  | Report 
  • H. Aziz and S. Gaspers and J. Gudmundsson and S. Mackenzie and N. Mattei and T. Walsh. Computational Aspects of Multi-Winner Approval Voting. AAMAS 2015. [ Pdf ]
  • H. Aziz, S. Gaspers, N. Mattei, S. Mackenzie, N. Narodytska, T. Walsh. Manipulating the Probabilistic Serial Rule. AAMAS 2015. [ Pdf ]
  • H. Aziz, H G. Seedig and K. von Wedel. On the Susceptibility of the Deferred Acceptance Algorithm. AAMAS 2015         [ Pdf ]
  • H. Aziz, S. Gaspers, N. Mattei, S. Mackenzie, N. Narodytska, T. Walsh. Manipulating the Probabilistic Serial Rule. MATCHUP 2015
  • H. Aziz, T. Walsh, and L. Xia. Possible and Necessary Allocations via Sequential Mechanisms. MATCHUP 2015. [ Pdf ]
  • H. Aziz, M. Brill, V. Conitzer, E. Elkind, R. Freeman, T. Walsh. Justified Representation in Approval-Based Committee Voting.  AAAI 2015. [ Pdf | Slides ]
  • H. Aziz and C. Ye. Cake Cutting Algorithms for Piecewise Constant and Piecewise Uniform Valuations. WINE 2014.  [ Pdf ] [ Slides ]
  • H. Aziz, F. Brandl, and F. Brandt. Universal Pareto Dominance and Welfare for Plausible Utility Functions. 2014. ACM EC 2014. [ pdf ]  (also presented at The 12th Meeting of the Society for Social Choice and Welfare).
  • H. Aziz, F. Brandl, and F. Brandt. On the incompatibility of efficiency and strategyproofness in randomized social choice. 2014. AAAI 2014      [ Pdf | poster ]
  • H. Aziz and P. Stursberg. A Generalization of Probabilistic Serial to Randomized Social Choice. AAAI 2014. Pdf  |  Poster ]
  • H. Aziz, S. Gaspers, S. Mackenzie, N. Mattei, P. Stursberg and T. Walsh Fixing a Balanced Knockout Tournament. AAAI 2014. [ Pdf ]
  • H. Aziz and B. Keijzer. Shapley meets Shapley. STACS 2014. [ Pdf ]
  • H. Aziz. A note on the undercut procedure. 
    AAMAS 2014. [ Pdf ]
  • H. Aziz, S. Gaspers, S. Mackenzie, T. Walsh. Fair assignment of indivisible objects under ordinal preferences. AAMAS 2014. [ Preprint ]
  • H. Aziz, F. Brandt, and P. Harrenstein. Fractional hedonic games. AAMAS 2014. [ Pdf 
  • H. Aziz, P. Harrenstein, J. Lang, M. Wooldridge. Boolean Hedonic Games. LOFT 2014
  • H. Aziz and S. Gaspers and J. Gudmundsson and S. Mackenzie and N. Mattei and T. Walsh. Computational Aspects of Multi-Winner Approval Voting. MPREF 2014
  • H. Aziz, C. Cahan, C. Gretton, P. Kilby, N. Mattei, T. Walsh. A Study of Proxies for Shapley Allocations of Transport Costs. COOPMAS 2014
  • H. Aziz, F. Brandt and P. Stursberg. On Popular Random Assignments. SAGT 2013. [ Pdf ]
  • H. Aziz. Maximal Recursive Rule: A New Social Decision Scheme. IJCAI 2013. [ Pdf ]
  • H. Aziz, S. Gaspers, N. Mattei, N. Narodytska and T. Walsh. Ties Matter: Complexity of Manipulation when Tie-breaking with a Random Vote. AAAI 2013. Pdf ]
  • H. Aziz. Stable marriage and roommate problems with individual-based stability. AAMAS 2013. [ Pdf ]
  • H. Aziz, F. Brandt, and M. Brill. On the tradeoff between economic efficiency and strategyproofness in randomized social choice. 2012. AAMAS 2013. [ Pdf ] (Poster presentation at WINE 2013)
  • H. Aziz, E. Elkind, M. Wooldridge (Editors). Proceedings of the 4th International Workshop on Cooperative aspects of Multi-agent Systems (CoopMAS), 2013. 
  • H. Aziz and B. de Keijzer. Housing Markets with Indifferences: a Tale of Two Mechanisms. AAAI 2012 (also presented at the Frontiers of Market Design Conference and at COMSOC 2012). [ Pdf ]
  • H. Aziz, Markus Brill and Paul Harrenstein. Testing Substitutability of Weak Preferences. MATCHUP 2012 [Preprint].
  • H. Aziz and F. Brandl. Existence of Stability in Hedonic Coalition Formation Games. AAMAS 2012 [ Pdf ].
  • Haris Aziz, M. Brill, F. Fischer, P. Harrenstein, J. Lang, H. G. Seedig. Possible and Necessary Winners of Partial Tournaments. AAMAS 2012. [ Pdf ]
  • H. Aziz, P. Harrenstein, and E. Pyrga. Individual-based stability in hedonic games depending on the best or worst players. AAMAS 2012(extended abstract). [ Pdf 
  • H. Aziz, F. Brandt and P. Harrenstein. Pareto Optimality in Coalition Formation. SAGT 2011. 4th Symposium on Algorithmic Game Theory. [Pdf ]  (Also presented at GAMES 2012ACM EC 2012 and IJCAI-COMSOC 2011.)
  • H. Aziz and B. de Keijzer. Complexity of coalition structure generation. AAMAS 2011, The Tenth International Conference on Autonomous Agents and Multiagent Systems. [ Pdf ]
  • H. Aziz, F. Brandt and H. G. Seedig. Stable partitions in additively separable hedonic games. AAMAS 2011, The Tenth International Conference on Autonomous Agents and Multiagent Systems. [ Pdf ]
  • H. Aziz, Y. Bachrach, E. Elkind and M. Paterson. False-Name Manipulations in Weighted Voting Games. Journal of Artificial Intelligence Research (JAIR), 2011. [Link]
  • H. Aziz, F. Brandt and H. G. Seedig. Optimal partitions in additively separable hedonic games. IJCAI 2011, International Joint Conferences on Artificial Intelligence  (Previously: COMSOC 2010, 3rd International Workshop on Computational Social Choice; also invited for presentation at EURO 2010, 24th European Conference on Operational Research, ` Combinatorial optimization and cooperative game theory session')  [Link | Preprint]
  • H. Aziz and T. Sorensen. Path coalitional games. CoopMAS 2011, The Second Workshop on Cooperative Games in Multiagent Systems [Pdf ]
  • H. Aziz, F. Brandt, and P. Harrenstein. Monotone cooperative games and their threshold versions. AAMAS 2010, The Ninth International Conference on Autonomous Agents and Multiagent Systems. [Venue | Pdf]
  • H. Aziz, O. Lachish, M. Paterson and R. Savani. Wiretapping a hidden network. WINE 2009, International Workshop on Internet & Network Economics 2009. LNCS 5929 proceedings. [LinkPreprint]
  • H. Aziz, O. Lachish, M. Paterson and R. Savani. Power indices of spanning connectivity games. AAIM 2009, The Fifth International Conference on Algorithmic Aspects in Information and Management,  LNCS 5564 proceedings. [Link | Proceedings | Preprint]
  • H. Aziz and M. Paterson. False name manipulations in weighted voting games: splitting, merging and annexation. AAMAS2009, The Eighth International Conference on Autonomous Agents and Multiagent Systems. [Link | Proceedings | Pdf
  • H. Aziz. Social and Economic Networks: a review. ACM Sigecom Exchanges Volume 8.1, 2009 [Link | Pdf]
  • H. Aziz, Complexity of comparison of influence of players in simple games. COMSOC 2008, 2nd International Workshop on Computational Social Choice, pp  61-72, 2008. [Link | Proceedings | Pdf]
  • H. Aziz and M. Paterson. Complexity of some aspects of control and manipulation in weighted voting games.  Annales du Lamsade, No. 9, pp 1-16, 2008 ISSN 1762-455X.  [Link
  • H. Aziz and M. Paterson, Computing voting power in easy weighted voting games, CO 2008- International Symposium on Combinatorial Optimization 2008. [Link | Pdf]).
  • H. Aziz, M. Paterson, D. Leech. Efficient algorithm for Designing Weighted Voting Games. INMIC 2007, Proceedings of the IEEE Computer Society, 11th IEEE International Multitopic Conference, 2007. 
  • D. Leech and H. Aziz. The double majority voting rule of the EU reform treaty as a democratic ideal for an enlarging union: an appraisal using voting power analysis. Proceedings of Annual Meeting of the European Public Choice Society 2008, Jena, Germany. [Link | Pdf ] (Previously as D. Leech and H. Aziz, 'Some Properties of the Qualified Majority Voting Provisions of the EU Constitutional Treaty under Various Enlargement Scenarios', International Workshop on the Distribution of Voting Power in the EU, Warsaw, 2007 [venue])

Other Publications

  • H. Aziz. Review of 'Boolean Functions - Theory, Algorithms, and Applications' by Yves Crama and Peter L. Hammer, 2014 ACM SIGACT News.
  • H. Aziz. Review of 'Matching Theory' by László Lovász and M. D. Plummer, 2012 ACM SIGACT News Vol 43, No 3, 2012.
  • H. Aziz. Review of 'In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation' by William J. Cook' by 2013 ACM SIGACT News Vol 43, No 3, 2012.
  • H. Aziz. Review of 'Graph Theory: A problem Oriented Approach ' by Daniel Marcus, 2011 ACM SIGACT News.
  • H. Aziz. Review of 'P, NP, and NP-Completeness: The Basics of Complexity Theory' by Oded Goldreich, ACM Computing Reviews, 2011 [Link
  • H. Aziz. Review of  'Princeton Companion to Mathematics' by Gowers, Barrow-Green and Leader. ACM SIGACT News Vol 41, No. 1, 2010  [Link
  • H. Aziz. Review of 'Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations' by Y. Shoham and K. Leyton-Brown, ACM SIGACT News Vol 41, No. 1, 2010 [Link]
  • H. Aziz. Review of 'Algorithms and Theory of Computation Handbook 2009'.  ACM Computing Reviews, 2010. [Link]
  • H. Aziz. Game theoretic reasoning column. The Reasoner, Volume 4, Number 4, 2010.  [Link]
  • H. Aziz. Modelling Interaction, Dialog, Social Choice, and Vagueness. The Reasoner, Volume 4, Number 5, 2010.  [Link]
  • H. Aziz. COST-ADT Doctoral School on Computational Social Choice. The Reasoner, Volume 4, Number 7, 2010.  [Link]
  • H. Aziz. 'Insight into Game Theory', IMA Mathematics Today. Volume 45, Number 1, February 2009, Page 33 [Link  | Pdf]
  • H. Aziz. Complex graphs and networks (CBMS regional conference series in mathematics): a review.  ACM Computing Reviews, 2009. [Link]
  • H. Aziz. Algorithmic Game Theory: a review, IMA Mathematics Today. Volume 45, Number 2, 2009, Page 80 [ Pdf 
  • H. Aziz. Review of 'Encyclopedia of Algorithms' by MY Kao.  ACM Computing Reviews, 2009 [Link
  • H. Aziz. Game Theoretic Problems in Network Economics and Mechanism Design: a review. ACM Computing Reviews, 2009 [Link
  • H. Aziz and M. Heuer (Editors). 19th Postgraduate Combinatorial Conference (BCC-LMS-DIMAP-OU) Proceedings'. 2008. [Link]
  • H. Aziz. Review of 'Is Mathematics Inevitable? A Miscellany'. 2008. London Mathematical Society Newsletter, Issue 375, Nov 2008 [Link
  • H. Aziz. Review of 'Algorithmic aspects of graph connectivity (1st ed.)' by H. Nagamochi and T. Ibaraki. ACM Computing Reviews, 2008 [Link] 
  • H. Aziz  and M. Heuer. Report on the 19th Postgraduate Combinatorial Conference. London Mathematical Society Newsletter,  Oct 2008, Issue 374. [Link


Miscellaneous  
  • I occasionally blog about my travel and academic research interests at http://haris-aziz.blogspot.com/
  • The pervasiveness and importance of algorithms is covered in the Economist and The Guardian.  More coverage of algorithms is here and here.
  • The NYT  and the BBC look at the P vs NP question.
  • Wonder what theoretical computer science is about and what it seeks to do? Check out from here.
  • Many of the important innovations in the last 30 years are linked with computer science.
  • Here are some challenges worth a million dollars each.
  • Eleven game theorists and social choice theorists have won Nobel Prizes in economics.
  • Also, check out an article on mechanism design in The Guardian and this survey in Econometrica.
  • Here's an interesting but not unusual perspective that mathematics can be viewed as an art form.
  • Here is my academic genealogy.
  • My Erdos Number is 3. (Paul Erdos --> {John Conway/David E. Dakin/Foong Frances Yao/ Aviezri Siegmund Fraenkel/ Patrick Eugene O'Neil} --> Michael S. Paterson --> Haris Aziz).



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