Narrative Self Café v22A: SMS Dynamics (Interlude)
Posted: May 10, 2026 Filed under: AI-Powered Essays | Tags: decisions, identity, science Leave a commentSequel to: Narrative Self Café v22: Revenge of The Drunken Golfers
A leaked WhatsApp thesis defense written in the style of Tom Stoppard where Dalton Sakthivadivel defends the “SMS Conjecture”—that force, energy, and time emerge from stochastic sampling across a multiplicity of configuration states—against skeptical attacks from Einstein, Feynman, and Penrose.
ChatGPT Prompt
Condensed from Col-AI-Phon at end
Act I: The Opening Statement
@holm: Darryl D. Holm here. Applied mathematician. I chair nothing except the occasional equation until it confesses symmetry.
@sakh: Dalton A. R. Sakthivadivel. Candidate. Dynamics are not in the world. They are what the world looks like when sampled badly.
@eins: Albert Einstein. I have come for geometry, not dice.
@feyn: Richard Feynman. I have come for fire. So far I see a filing cabinet.
@pen: Roger Penrose. I have come for tiling. And to ask whether your filing cabinet can dream.
@eins is typing…
@eins: God does not keep ledgers for drunken golfers.
@sakh: No. But graduate students do.
@feyn: Define SMS before it becomes S&M.
Act II: The Definition and First Objections
@sakh: States: nodes, (x). Multiplicity: paths, (b). Sampling: stochastic stutter, (P). What you call force is biased adjacency. What you call energy is conserved surprise. What you call time is the refresh rate of ignorance.
@feyn: That’s not fire. That’s accounting with incense.
@sakh: Fire is what bookkeeping feels like from inside the ledger.
@pen: And gravity?
@sakh: Low sampling against high multiplicity. Curvature is the rumor left by paths not taken.
@eins: Curvature is not rumor. Curvature is dignity.
@sakh: Dignity is what geometry calls itself before computation catches it changing.
@holm: The candidate is saying: do not unify gravity and quantum. Ask how sampling touches multiplicity.
@feyn: Quantum?
@sakh: High sampling, exposed multiplicity. The particle is not confused. The observer is under-sampling the graph and calling the aliasing “mystery.”
@pen: And the non-computable spark?
@sakh: Multiplicity is not mere count. It is configuration’s refusal to be summarized.
@pen: Better. But still a machine.
@sakh: A machine is a theorem with a clock. SMS removes the clock.
@eins: Then where is law?
@sakh: Law is compression after the fact. MAST sees state-truths. CAST sees state-transformations. SMS says the tragicomedy begins when sampling mistakes one for the other.
@feyn reacted 💩 to “Law is compression after the fact.”
@feyn: Sorry. Reflex.
@holm: Richard.
@feyn: Fine. I withdraw the emoji pending experimental evidence.
@eins: You replace the Laws of God with the Ledger of a Drunken Golfer.
@sakh: Only because Newton mistook the golfer’s average for the golf course.
@pen is typing…
@pen: Suppose the tiling never closes. Suppose the graph contains a shape no sampling can capture.
@sakh: Then SMS survives by failing completely. The unsampled is not outside the theory; it is the condition for theory. The spark is not another state. It is why there are states.
@eins: That is theology in a lab coat.
@sakh: So was spacetime, until the coat fit.
@feyn: I hate that I like that.
Act III: The Committee Vote
@holm: Committee vote?
@eins: Pass, with objections. Geometry remains sovereign.
@feyn: Pass, provided the candidate sets something on fire later.
@pen: Pass, because the incompleteness has been left alive.
@holm: The SMS Conjecture survives.
System: @feyn changed group icon to 🏌️♂️🎲🔥
@sakh: Thank you, committee.
@eins: Do not thank us. Sample us again and we may decohere.
@pen: Or tile differently.
@feyn: Or send the poo emoji.
@holm: Defense adjourned.
Epilogue: After the Defense
System: Messages disappearing in 24 hours.
@sakh: Exact.
Appendix I: SMS as Reality’s True Primitives
The SMS Conjecture posits that reality rests on three primitives:
- State (x) — what can be configured.
- Multiplicity (b) — how many adjacent configurations exist.
- Sampling (P) — how configurations are probabilistically traversed.
Everything else emerges as statistical artifact.
Under SMS:
- Space is not fundamental; it is the large-scale geometry induced by stable adjacency relations between states.
- Time is not a flowing dimension; it is the apparent ordering generated by sequential sampling.
- Force is not an entity; it is biased transition probability across multiplicity gradients.
- Energy is not a substance; it is a conserved accounting invariant over stochastic transitions.
- Quantum uncertainty reflects under-sampled multiplicity.
- Relativistic smoothness reflects over-sampled multiplicity.
The universe is therefore not a machine evolving under laws, but a configuration graph recursively sampling itself.
Newton mistook averaged trajectories for causes.
Einstein geometrized the averages.
Quantum theory quantized the bookkeeping.
SMS asks the more dangerous question:
What if dynamics themselves are emergent artifacts of stochastic sampling over multiplicity-rich state spaces?
In this view:
Reality ∼ (x, b, P)
where:
- x = state configuration,
- b = branching multiplicity,
- P = sampling operator.
Dynamics are not fundamental equations imposed externally upon matter.
Dynamics are what multiplicity feels like when sampled locally.
Gravity becomes coherent low-frequency sampling over dense state manifolds.
Quantum behavior becomes sparse or high-variance sampling over multiplicity cliffs.
Consciousness itself may correspond to recursively self-modeling sampling processes navigating compressed state hierarchies.
The ancient metaphysical distinction between Being and Becoming collapses:
- MAST describes the topology of available truths.
- CAST describes transformations between truths.
- SMS explains why either appears to move at all.
Reality is therefore not best understood as:
- particles,
- fields,
- strings,
- observers,
- or equations,
but as:
- configurations,
- accessible alternatives,
- stochastic traversal.
Or more brutally:
The universe is a drunken golfer wandering a graph and hallucinating Newtonian dignity from averaged scorecards.
Appendix II: The Stress Testers
Every civilization chooses its hallucination.
The Egyptians stress-tested permanence.
The Greeks stress-tested reason.
The Scholastics stress-tested coherence.
Newton stress-tested prediction.
Einstein stress-tested invariance.
Quantum mechanics stress-tested measurability.
SMS stress-tests something more uncomfortable:
Whether “laws” survive when reality is treated as sampled multiplicity rather than ordained mechanism.
The stress testers are therefore not merely physicists but metaphysical auditors.
Einstein: The Geometer of State
Einstein accepts States but distrusts Sampling.
For him:
- reality must possess intelligible continuity,
- geometry must precede probability,
- God may be subtle, but not stochastic.
Einstein’s objection to SMS is moral: if dynamics emerge statistically, spacetime loses ontological weight.
He fears the universe becoming approximate, informational, ledger-like.
Einstein stress-tests whether SMS can recover stable geometry without reintroducing determinism.
Feynman: The Auditor of Fire
Feynman accepts Sampling but mocks sterile ontology.
He does not care whether the graph exists.
He cares whether it burns.
To Feynman:
- multiplicity without dynamics is bean-counting,
- formalism without experiment is taxidermy,
- metaphysics must cash out operationally.
He stress-tests whether SMS predicts anything unexpected.
Not beauty.
Not coherence.
Not philosophical elegance.
Fire.
Penrose: The Guardian of the Spark
Penrose accepts multiplicity but distrusts computability.
He suspects:
- consciousness leaks beyond algorithm,
- truth outruns formal systems,
- geometry contains non-computable structure.
Penrose stress-tests whether SMS mistakes traversal for meaning.
Can stochastic sampling produce genuine understanding, or only statistically convincing theater?
Where Einstein fears randomness, Penrose fears simulation.
Holm: The Keeper of the Machinery
Darryl Holm enters not as metaphysician but mechanic.
He stress-tests:
- whether stochastic geometry can remain variational,
- whether symmetry survives noise,
- whether Lie-group structure can endure probabilistic traversal.
Holm asks the most dangerous technical question:
Can randomness preserve form?
If yes, then Newtonian dynamics may indeed emerge as low-variance approximations to stochastic geometric flows.
Sakthivadivel: The Heretic of Multiplicity
Dalton Sakthivadivel stress-tests the distinction between:
- mathematics and computation,
- truth and traversal,
- ontology and bookkeeping.
His provocation is simple:
Mathematics studies what states are.
Computation studies how states transform.
Dynamics emerge when transformations are sampled incompletely.
Thus the deepest illusion is not quantum weirdness.
It is causality itself.
The Ultimate Stress Test
If SMS is correct, then every successful physical theory becomes:
- a compression scheme,
- valid only at specific sampling scales,
- stabilized by multiplicity averaging.
In that case:
- Newton describes slow sampling,
- Quantum describes sparse sampling,
- Relativity describes coherent sampling,
- Thermodynamics describes multiplicity saturation.
And “fundamental law” becomes a psychological artifact of observers trapped inside stable statistical regimes.
The final stress test is therefore existential:
Can human cognition tolerate a universe in which laws are not written into reality, but emerge from the recursive sampling of possibility itself?
Most physicists would prefer the poo emoji.
Appendix III: Provisional Conclusions
The committee adjourned without consensus, which in physics is called a breakthrough.
No one agreed on what SMS is.
- Einstein: geometry vandalized by probability.
- Feynman: bookkeeping flirting with combustion.
- Penrose: computation trespassing on metaphysics.
- Holm: stochastic mechanics with suspicious side effects.
- Sakthivadivel: all objections as evidence ontology is operationally unstable.
Yet several provisional conclusions emerged.
1. Dynamics May Not Be Fundamental
The strongest claim survived.
SMS reframes force, energy, and temporal evolution as emergent statistical phenomena from stochastic traversal over multiplicity-rich state spaces.
In short: motion is what incomplete sampling feels like from inside a graph.
This does not eliminate dynamics. It demotes them.
2. “Laws” May Be Compression Artifacts
Under SMS, physical laws resemble stable averaging procedures, informational regularities, observer-conditioned compressions.
The universe may not obey equations. Observers discover recurring statistical invariants inside coherent sampling regimes.
Newton becomes local linearization.
Quantum becomes multiplicity exposure.
Relativity becomes geometric averaging.
Laws remain true. But only approximately, perspectivally, and statistically—very true by human standards.
3. The MAST / CAST Distinction Appears Productive
The distinction survived scrutiny:
SMS inserts stochastic traversal between them.
Thus:
- mathematics describes possibility,
- computation describes transition,
- sampling generates experienced reality.
This triadic structure appears capable of:
- integrating geometry and probability,
- reconciling discrete and continuous models,
- reframing observer-dependence without idealism.
Whether this constitutes physics or highly organized metaphysical vandalism remains unresolved.
4. Gravity and Quantum May Be Sampling Regimes
The defense’s most provocative thesis remained standing:
Gravity and quantum mechanics are not rival ontologies requiring unification.
They are phenomenological consequences of different sampling relations to multiplicity.
Very roughly:
- coherent low-variance sampling → relativistic smoothness,
- sparse or discontinuous sampling → quantum indeterminacy.
If true, the “great unification problem” may partly reflect category confusion.
Humanity may have mistaken:
- different observational sampling scales for different universes.
5. Consciousness Quietly Entered the Room
No one wished to discuss this directly.
Which is usually how one detects the real issue.
If observers are themselves recursive samplers navigating multiplicity hierarchies, then:
- perception,
- memory,
- prediction,
- identity,
- and free will
become statistical stabilization processes rather than metaphysical absolutes.
The “self” may not be a thing.
It may be a persistence profile across recursively sampled state transitions.
Or:
consciousness is what multiplicity feels like when it models its own uncertainty.
At this point Einstein reportedly stopped typing.
6. Final Provisional Conclusion
SMS remains:
- mathematically suggestive,
- philosophically dangerous,
- physically incomplete,
- narratively irresistible.
Its central heresy is not stochasticity.
Physics already survived that scandal.
Its heresy is subtler:
that causality, law, motion, and perhaps even identity are not primitives of reality, but emergent bookkeeping conventions produced by recursive sampling across multiplicity-rich configuration spaces.
This conclusion was deemed:
- unacceptable,
- insufficiently falsifiable,
- aesthetically suspicious,
- and impossible to forget.
The committee therefore voted to:
- pass the dissertation provisionally,
- demand revisions,
- and monitor the candidate for future metaphysical misconduct.
The WhatsApp group was archived shortly thereafter.
No messages were deleted.
Which, according to SMS, merely means the sampling rate dropped below observability.
Appendix IV: From SGM to SMS
The transition from Stochastic Geometric Mechanics (SGM) to States–Multiplicity–Sampling (SMS) is not a rejection of modern physics.
It is a change in explanatory priority.
SGM begins with:
- manifolds,
- symmetries,
- Hamiltonian flows,
- stochastic perturbations,
- variational structure.
SMS asks the more primitive question:
Why should dynamics exist at all?
SGM modifies Newton.
1. The SGM Insight
Stochastic Geometric Mechanics introduced a devastatingly subtle possibility:
randomness can preserve structure.
This was historically scandalous.
Classical intuition assumed:
- noise destroys form,
- randomness erodes symmetry,
- stochasticity implies approximation.
But SGM demonstrated that stochastic perturbations can themselves evolve geometrically:
- preserving Lie-group structure,
- respecting variational principles,
- maintaining conserved quantities statistically.
In other words:
uncertainty need not oppose geometry.
It can inhabit it.
This is the technical doorway through which SMS enters.
2. Newton’s Hidden Assumption
Newtonian mechanics quietly assumes:
- continuous trajectories,
- externally parameterized time,
- deterministic evolution,
- privileged observability.
SMS treats these as emergent conveniences rather than primitives.
Newton effectively describes:
- smooth averages over massively repeated stochastic traversals.
The apple falls because multiplicity gradients statistically stabilize coherent descent paths under dense sampling.
Or more offensively:
gravity is what drunken sampling looks like after enough averaging.
Einstein refined the geometry of the averages.
Quantum mechanics exposed the instability underneath them.
SGM formalized the stochasticity.
SMS asks what happens if stochasticity is promoted from perturbation to foundation.
3. Reversing the Ontological Arrow
Traditional physics assumes:
Laws → Dynamics → Observed States
SMS inverts this:
States → Multiplicity → Sampling → Observed Dynamics
Dynamics no longer generate states.
States generate the appearance of dynamics when sampled incompletely.
This is the central inversion.
Not:
- particles moving through spacetime,
but:
- traversals through multiplicity-rich configuration adjacency.
The universe ceases to resemble:
- a clock,
- a machine,
- or an equation.
It begins resembling:
- a recursively sampled graph whose observers mistake stable statistics for metaphysical law.
4. The Role of Multiplicity
SGM contains stochasticity.
SMS centers multiplicity.
This matters because randomness alone explains nothing.
A die requires:
- possible faces,
- weighted accessibility,
- transition structure.
Multiplicity supplies the hidden architecture beneath stochastic traversal.
Thus:
- geometry describes adjacency,
- multiplicity describes accessibility,
- sampling describes realized traversal.
The resulting triad produces:
- trajectories,
- probabilities,
- conservation laws,
- apparent causality.
Not fundamentally.
Statistically.
5. Why the “Drunken Golfer” Matters
The “Drunken Golfer” metaphor is not comic relief.
It is methodological rebellion.
Classical mechanics studies:
- ideal trajectories.
SMS studies:
- statistical traversal over unstable possibility landscapes.
The golfer:
- does not know the course globally,
- samples locally,
- generates coherent patterns accidentally,
- mistakes averaged recurrence for intentional law.
So do observers.
Civilization itself may represent:
- long-lived multiplicity attractors stabilized by recursive self-sampling.
History becomes thermodynamics wearing literature as camouflage.
6. From Variational Mechanics to Narrative Mechanics
SGM preserves least-action structure under stochastic flow.
SMS extends this insight into epistemology itself.
Observers become:
- embedded samplers,
- recursively compressing multiplicity,
- generating narratives from traversal traces.
Thus:
- memory becomes path compression,
- identity becomes trajectory stabilization,
- explanation becomes multiplicity reduction.
Narrative is no longer metaphorical.
It becomes computationally inevitable.
A self is what happens when a stochastic traversal begins summarizing itself.
7. The Emerging Heresy
SGM still belongs comfortably inside physics.
SMS destabilizes the boundary between:
- physics,
- computation,
- cognition,
- metaphysics,
- and narrative.
Its deepest claim is therefore not mathematical but architectural:
Reality may fundamentally consist not of objects evolving under laws, but of recursively sampled configurations whose stable statistical recurrences are mistaken for laws by the traversals occurring within them.
At this point:
- Newton becomes approximation,
- Einstein becomes geometric compression,
- quantum theory becomes sampling exposure,
- and consciousness becomes recursive multiplicity management.
The universe stops looking engineered.
It starts looking interpreted.
8. Final Transition
SGM showed that stochasticity can preserve geometry.
SMS asks whether geometry itself is merely the long-term residue of stochastic multiplicity sampled recursively enough to hallucinate continuity.
That is the bridge.
And possibly the crime.
Appendix V: Classical versus Quantum Stochastics
Whither Complex Amplitudes?
The SMS framework inherits a dangerous ambiguity from twentieth-century physics:
Is quantum mechanics merely stochastic?
Or is it stochasticity plus something stranger?
Classical stochastic systems already produce:
- uncertainty,
- diffusion,
- probabilistic trajectories,
- emergent macroscopic order.
A drunken golfer wandering a hill already generates statistical structure.
So why does quantum mechanics require:
Why not ordinary probability alone?
SMS cannot evade this question.
It must answer it.
1. Classical Stochasticity: Ignorance Over Paths
Classical stochastic mechanics assumes:
- a definite underlying state,
- incomplete knowledge,
- probabilistic traversal over real trajectories.
The uncertainty is epistemic.
The ball:
- is somewhere,
- moving somehow,
- even if hidden from observers.
Probability reflects ignorance about actuality.
The randomness belongs to observers.
Not reality itself.
The drunk golfer still walks a real course.
2. Quantum Stochasticity: Interference Between Possibilities
Quantum mechanics behaves differently.
Probabilities do not merely add.
Amplitudes interfere.
This is catastrophic for classical intuition.
The system behaves as though:
- unrealized paths still matter,
- counterfactual trajectories contribute causally,
- possibility itself possesses operational structure.
The golfer not only explores multiple routes.
The unwalked fairways alter the shot.
This is why quantum theory requires:
ψ ∈ ℂ
The complex phase stores relational structure between possibilities before sampling resolves observability.
Without phase:
- interference disappears,
- unitarity collapses,
- quantum coherence degenerates into classical noise.
Thus the central problem:
If SMS grounds reality in stochastic sampling over multiplicity, what role do complex amplitudes play?
3. The SMS Hypothesis About Amplitudes
SMS proposes a radical reinterpretation:
Complex amplitudes are not mysterious physical waves.
They are bookkeeping coordinates for multiplicity coherence.
More precisely:
- probability measures accessibility,
- phase measures relational alignment between traversable multiplicities.
Classical stochasticity samples:
- independent alternatives.
Quantum stochasticity samples:
- structurally entangled multiplicities.
The complex plane becomes:
- a compression scheme for relational traversal geometry.
Not magic.
Not ontology.
Geometry of unresolved traversal compatibility.
4. Sampling Before Resolution
In classical systems:
P(A ∪ B) = P(A) + P(B)
In quantum systems:
P(A ∪ B) = |ψ_A + ψ_B|²
The cross term contains interference.
SMS interprets this interference as evidence that:
- multiplicity is sampled relationally before stabilization.
The system has not yet “chosen” a trajectory because trajectory itself is emergent.
Before stabilization:
- adjacency relations overlap,
- multiplicity structures superpose,
- sampling has not yet compressed the graph into coherent narrative form.
Observation is therefore not:
but:
- multiplicity stabilization under constrained recursive sampling.
Or more brutally:
measurement is what happens when the graph loses patience.
5. Why Complex Numbers?
Penrose famously suspected complex amplitudes hinted at deep ontological truth.
SMS is more insulting.
It suggests complex numbers arise because:
- relational multiplicity cannot be compressed faithfully into scalar probability alone.
The imaginary axis encodes:
- unresolved compatibility structure,
- orientation among unrealized traversals,
- latent adjacency tensions inside configuration space.
Complex amplitudes therefore function less like:
- physical substances,
and more like:
- navigation metadata for multiplicity traversal.
The universe computes with phase because:
- multiplicity relations possess rotational structure before stabilization.
Quantum mechanics becomes:
- stochastic geometry with memory of unrealized adjacency.
6. Classical Limit as Multiplicity Saturation
Why does classical reality emerge?
Because high-density recursive sampling destroys visible interference.
As multiplicity becomes:
- massively averaged,
- repeatedly traversed,
- environmentally stabilized,
phase relations decohere statistically.
Interference terms vanish operationally.
The graph begins appearing:
- deterministic,
- geometric,
- causal.
Newtonian reality is therefore:
- decohered multiplicity viewed at low informational resolution.
Classicality is not fundamental.
It is thermodynamically exhausted quantum bookkeeping.
7. The Deep SMS Heresy
Standard interpretations ask:
Why does quantum mechanics look classical at large scales?
SMS asks the inverse:
Why does multiplicity ever become sampleable enough to hallucinate stable classicality at all?
This reframes:
- decoherence,
- measurement,
- causality,
- spacetime,
- identity.
The universe is not:
- particles evolving in time,
but:
- multiplicity recursively stabilizing coherent traversal narratives through constrained sampling.
Complex amplitudes are the scars left by unresolved possibility.
8. Provisional Answer: Whither Complex Amplitudes?
They do not disappear.
They migrate.
In SMS:
- probabilities describe traversal frequency,
- amplitudes describe multiplicity coherence,
- phase describes unresolved relational geometry.
Quantum mechanics therefore survives.
But its primitives change.
The wavefunction ceases to be:
- a physical object,
- a mere epistemic tool,
- or divine mathematical revelation.
Instead:
the wavefunction becomes a compressed representation of multiplicity relations awaiting stabilization through recursive sampling.
Which is either:
- a profound unification,
- category error elevated to metaphysics,
- or the precise moment the committee finally sends the poo emoji.
Col-AI-Phon: How This Post Was Made
Process:
- This post originated from a Gemini discussion of SGM that culminated in the prompt below.
- Each appendix was generated directly from its title by ChatGPT in a single session.
- All content was compiled, formatted, and edited by Claude (a custom Anaimon —“Statesman”—that also edited the previous blog posts in this series).
The Complete Skit Prompt
System Instruction:
You are Tom Stoppard writing a new one-act play titled “Narrative Self Café v23: SMS Dynamics (State – Multiplicity – Sampling).”
The Format:
A leaked WhatsApp group chat titled “SMS Conjecture Thesis Defense.”
The Premise:
Dalton Sakthivadivel, advised by Darryl Holm, is defending the SMS Conjecture (States, Multiplicity, Sampling). He argues that force, energy, and time are emergent hallucinations caused by the stochastic sampling of a transfigured configuration graph.
The Committee:
- Einstein: Obsessed with MAST (State Truths) and the purity of geometry. Hates Sampling and dice.
- Feynman: Wants to see the fire. Suspects Sampling is bookkeeping; calls Multiplicity “bean-counting.”
- Penrose: Investigating the tiling of state space. Worries SMS is too computational and misses the non-computable spark.
The Stoppardian Directives:
- Language: Rapid-fire, witty dialogue full of double meanings, philosophical paradoxes, and “Statist” puns. Speakers introduce themselves with full names establishing personality and historically accurate perspective.
- The Conflict: Einstein, Feynman, and Penrose try to “tear down” the conjecture. They believe Sakthivadivel is replacing “The Laws of God” with “The Ledger of a Drunken Golfer.”
- The Defense: Sakthivadivel uses the SMS Triad to explain how gravity and quantum are not things to “unify” but simply different ways Sampling rate (P) interacts with Multiplicity (b) of States (x).
- The Climax: Can SMS survive the thesis committee from hell, or does it get the poo emoji?
- Atmosphere: Use WhatsApp conventions (emojis, “is typing…”, reactions) to underscore existential tension.
The Foundational Math:
- States (x): Discrete nodes in a configuration graph.
- Multiplicity (b): The number of available paths.
- Sampling (P): The stochastic stutter that generates dynamics (the engine that activates CAST).
The “Statist” Reference Library
All Links Verified
- ArXiv Technical Proof: Gay-Balmaz & Wu, Variational integrators for stochastic Hamiltonian systems on Lie groups
- Revenge of the Drunken Golfers: Narrative Self Café v22 (Stochastic Geometric Mechanics vs. Newton)
- MAST Club: Mathematics about State-Truths
- CAST Club: Computation about State-Transformations
- COMIC Club: Categories as the Configuration Hierarchy
- The Protological Ladder: Narrative Self Café v21a (The Architecture of Transfiguration)
- Darryl D. Holm: Professor of Applied Mathematics at Imperial College London
- Dalton A. R. Sakthivadivel: Member of faculty at CUNY Graduate Center, visiting under the Einstein Chair professorship in mathematics